3152987040 has 384 divisors, whose sum is σ = 11772794880. Its totient is φ = 694407168.

The previous prime is 3152987027. The next prime is 3152987141. The reversal of 3152987040 is 407892513.

It is a self number, because there is not a number n which added to its sum of digits gives 3152987040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20082642 + ... + 20082798.

It is an arithmetic number, because the mean of its divisors is an integer number (30658320).

Almost surely, 2^3152987040 is an apocalyptic number.

3152987040 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 3152987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886397440).

3152987040 is an abundant number, since it is smaller than the sum of its proper divisors (8619807840).

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

3152987040 is a wasteful number, since it uses less digits than its factorization.

3152987040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 3152987040 is about 56151.4651634310. The cubic root of 3152987040 is about 1466.3604163143.

The spelling of 3152987040 in words is "three billion, one hundred fifty-two million, nine hundred eighty-seven thousand, forty".