3871602398400 has 672 divisors, whose sum is σ = 14031658487808. Its totient is φ = 926782771200.

The previous prime is 3871602398399. The next prime is 3871602398429. The reversal of 3871602398400 is 48932061783.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2409210397 + ... + 2409212003.

Almost surely, 2^{3871602398400} is an apocalyptic number.

3871602398400 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 3871602398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015829243904).

3871602398400 is an abundant number, since it is smaller than the sum of its proper divisors (10160056089408).

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

3871602398400 is a wasteful number, since it uses less digits than its factorization.

3871602398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 3871602398400 in words is "three trillion, eight hundred seventy-one billion, six hundred two million, three hundred ninety-eight thousand, four hundred".