3731394902400 has 1152 divisors, whose sum is σ = 15082629962400. Its totient is φ = 900218880000.

The previous prime is 3731394902357. The next prime is 3731394902401. The reversal of 3731394902400 is 42094931373.

3731394902400 is a `hidden beast` number, since 3 + 7 + 3 + 139 + 490 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3731394902401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2519509660 + ... + 2519511140.

Almost surely, 2^{3731394902400} is an apocalyptic number.

3731394902400 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 3731394902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541314981200).

3731394902400 is an abundant number, since it is smaller than the sum of its proper divisors (11351235060000).

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

3731394902400 is a wasteful number, since it uses less digits than its factorization.

3731394902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3731394902400 in words is "three trillion, seven hundred thirty-one billion, three hundred ninety-four million, nine hundred two thousand, four hundred".