3015015504400 has 135 divisors (see below), whose sum is σ = 7696238652039. Its totient is φ = 1134842403840.

The previous prime is 3015015504373. The next prime is 3015015504401. The reversal of 3015015504400 is 44055105103.

The square root of 3015015504400 is 1736380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 70524238096 + 2944491266304 = 265564^2 + 1715952^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3015015504401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 590366647 + ... + 590371753.

Almost surely, 2^{3015015504400} is an apocalyptic number.

3015015504400 is the 1736380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3015015504400

3015015504400 is an abundant number, since it is smaller than the sum of its proper divisors (4681223147639).

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

3015015504400 is an frugal number, since it uses more digits than its factorization.

3015015504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 3015015504400 in words is "three trillion, fifteen billion, fifteen million, five hundred four thousand, four hundred".