3157252162400 has 288 divisors, whose sum is σ = 9077578372800. Its totient is φ = 1071759360000.

The previous prime is 3157252162349. The next prime is 3157252162439. The reversal of 3157252162400 is 42612527513.

3157252162400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27657440 + ... + 27771360.

It is an arithmetic number, because the mean of its divisors is an integer number (31519369350).

Almost surely, 2^{3157252162400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3157252162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538789186400).

3157252162400 is an abundant number, since it is smaller than the sum of its proper divisors (5920326210400).

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

3157252162400 is a wasteful number, since it uses less digits than its factorization.

3157252162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114063 (or 114036 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

Adding to 3157252162400 its reverse (42612527513), we get a palindrome (3199864689913).

The spelling of 3157252162400 in words is "three trillion, one hundred fifty-seven billion, two hundred fifty-two million, one hundred sixty-two thousand, four hundred".