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3685492440 = 2333571034733
BaseRepresentation
bin1101101110101100…
…0010011011011000
3100111211220102012000
43123223002123120
530021441224230
61405412521000
7160221111630
oct33353023330
910454812160
103685492440
111621401023
1286a320160
13469714476
1426d6856c0
1516884cb60
hexdbac26d8

3685492440 has 256 divisors, whose sum is σ = 14179276800. Its totient is φ = 834043392.

The previous prime is 3685492387. The next prime is 3685492457. The reversal of 3685492440 is 442945863.

3685492440 is a `hidden beast` number, since 3 + 68 + 549 + 2 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 776314 + ... + 781046.

It is an arithmetic number, because the mean of its divisors is an integer number (55387800).

Almost surely, 23685492440 is an apocalyptic number.

3685492440 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 3685492440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089638400).

3685492440 is an abundant number, since it is smaller than the sum of its proper divisors (10493784360).

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

3685492440 is a wasteful number, since it uses less digits than its factorization.

3685492440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3685492440 is about 60708.2567695697. The cubic root of 3685492440 is about 1544.6562341967.

The spelling of 3685492440 in words is "three billion, six hundred eighty-five million, four hundred ninety-two thousand, four hundred forty".