| Base | Representation |
|---|---|
| bin | 1110000100111000010000 |
| 3 | 20221110201200 |
| 4 | 32010320100 |
| 5 | 1421040000 |
| 6 | 211031200 |
| 7 | 43236006 |
| oct | 16047020 |
| 9 | 6843650 |
| 10 | 3690000 |
| 11 | 20a0396 |
| 12 | 129b500 |
| 13 | 9c2742 |
| 14 | 6c0a76 |
| 15 | 4cd500 |
| hex | 384e10 |
3690000 has 150 divisors (see below), whose sum is σ = 13219206. Its totient is φ = 960000.
The previous prime is 3689993. The next prime is 3690013. The reversal of 3690000 is 963.
It can be written as a sum of positive squares in 5 ways, for example, as 2471184 + 1218816 = 1572^2 + 1104^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a super-2 number, since 2×36900002 = 27232200000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89980 + ... + 90020.
Almost surely, 23690000 is an apocalyptic number.
3690000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609603).
3690000 is an abundant number, since it is smaller than the sum of its proper divisors (9529206).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3690000 is a wasteful number, since it uses less digits than its factorization.
3690000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75 (or 51 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
The square root of 3690000 is about 1920.9372712299. The cubic root of 3690000 is about 154.5285710821.
Adding to 3690000 its reverse (963), we get a palindrome (3690963).
It can be divided in two parts, 36 and 90000, that multiplied together give a square (3240000 = 18002).
The spelling of 3690000 in words is "three million, six hundred ninety thousand".
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