3215687040 has 768 divisors, whose sum is σ = 12831436800. Its totient is φ = 766402560.

The previous prime is 3215686997. The next prime is 3215687051. The reversal of 3215687040 is 407865123.

3215687040 is a `hidden beast` number, since 3 + 21 + 568 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3215686986 and 3215687004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103731825 + ... + 103731855.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^3215687040 is an apocalyptic number.

3215687040 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 3215687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

3215687040 is an abundant number, since it is smaller than the sum of its proper divisors (9615749760).

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

3215687040 is a wasteful number, since it uses less digits than its factorization.

3215687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3215687040 is about 56707.0281358493. The cubic root of 3215687040 is about 1476.0166565640.

The spelling of 3215687040 in words is "three billion, two hundred fifteen million, six hundred eighty-seven thousand, forty".