3122615040 has 288 divisors, whose sum is σ = 10611793920. Its totient is φ = 780337152.

The previous prime is 3122615039. The next prime is 3122615047. The reversal of 3122615040 is 405162213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3122615040.

It is not an unprimeable number, because it can be changed into a prime (3122615047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9265752 + ... + 9266088.

Almost surely, 2^3122615040 is an apocalyptic number.

3122615040 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 3122615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305896960).

3122615040 is an abundant number, since it is smaller than the sum of its proper divisors (7489178880).

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

3122615040 is a wasteful number, since it uses less digits than its factorization.

3122615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3122615040 is about 55880.3636351805. The cubic root of 3122615040 is about 1461.6368456308.

Adding to 3122615040 its reverse (405162213), we get a palindrome (3527777253).

The spelling of 3122615040 in words is "three billion, one hundred twenty-two million, six hundred fifteen thousand, forty".