3964877414400 has 2016 divisors, whose sum is σ = 16541090445312. Its totient is φ = 832359628800.

The previous prime is 3964877414353. The next prime is 3964877414413. The reversal of 3964877414400 is 44147784693.

It is a super-2 number, since 2×3964877414400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31219507137 + ... + 31219507263.

Almost surely, 2^{3964877414400} is an apocalyptic number.

3964877414400 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 3964877414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270545222656).

3964877414400 is an abundant number, since it is smaller than the sum of its proper divisors (12576213030912).

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

3964877414400 is a wasteful number, since it uses less digits than its factorization.

3964877414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 3964877414400 in words is "three trillion, nine hundred sixty-four billion, eight hundred seventy-seven million, four hundred fourteen thousand, four hundred".