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3750215040 = 27325111329157
BaseRepresentation
bin1101111110000111…
…1011110110000000
3100200100200122220100
43133201323312000
530140023340130
61420044042400
7161635205355
oct33741736600
910610618810
103750215040
111654998080
12887b33400
13479c55b70
142780d262c
1516e384c60
hexdf87bd80

3750215040 has 768 divisors, whose sum is σ = 15838804800. Its totient is φ = 805109760.

The previous prime is 3750215033. The next prime is 3750215047. The reversal of 3750215040 is 405120573.

It is a happy number.

3750215040 is a `hidden beast` number, since 3 + 7 + 502 + 150 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3750215033) and next prime (3750215047).

It is a super-2 number, since 2×37502150402 = 28128225692484403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3750214995 and 3750215013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3750215047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23886642 + ... + 23886798.

Almost surely, 23750215040 is an apocalyptic number.

3750215040 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 3750215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919402400).

3750215040 is an abundant number, since it is smaller than the sum of its proper divisors (12088589760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3750215040 is a wasteful number, since it uses less digits than its factorization.

3750215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 3750215040 is about 61238.9993386567. Note that the first 3 decimals coincide. The cubic root of 3750215040 is about 1553.6459492661.

The spelling of 3750215040 in words is "three billion, seven hundred fifty million, two hundred fifteen thousand, forty".