3913904870400 has 792 divisors, whose sum is σ = 15415226237376. Its totient is φ = 872752742400.

The previous prime is 3913904870399. The next prime is 3913904870429. The reversal of 3913904870400 is 40784093193.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3913904870400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154278517 + ... + 154303883.

Almost surely, 2^{3913904870400} is an apocalyptic number.

3913904870400 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 3913904870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707613118688).

3913904870400 is an abundant number, since it is smaller than the sum of its proper divisors (11501321366976).

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

3913904870400 is a wasteful number, since it uses less digits than its factorization.

3913904870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25455 (or 25425 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 3913904870400 in words is "three trillion, nine hundred thirteen billion, nine hundred four million, eight hundred seventy thousand, four hundred".