3725182561600 has 168 divisors, whose sum is σ = 9570740165568. Its totient is φ = 1424403763200.

The previous prime is 3725182561589. The next prime is 3725182561603. The reversal of 3725182561600 is 61652815273.

3725182561600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725182561603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60947055 + ... + 61008145.

Almost surely, 2^{3725182561600} 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 3725182561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785370082784).

3725182561600 is an abundant number, since it is smaller than the sum of its proper divisors (5845557603968).

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

3725182561600 is a wasteful number, since it uses less digits than its factorization.

3725182561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62793 (or 62778 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 3725182561600 in words is "three trillion, seven hundred twenty-five billion, one hundred eighty-two million, five hundred sixty-one thousand, six hundred".