3979233086400 has 1176 divisors, whose sum is σ = 17247608780304. Its totient is φ = 890420428800.

The previous prime is 3979233086371. The next prime is 3979233086417. The reversal of 3979233086400 is 46803329793.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 166783272 + ... + 166807128.

Almost surely, 2^{3979233086400} is an apocalyptic number.

3979233086400 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 3979233086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8623804390152).

3979233086400 is an abundant number, since it is smaller than the sum of its proper divisors (13268375693904).

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

3979233086400 is a wasteful number, since it uses less digits than its factorization.

3979233086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23921 (or 23891 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 3979233086400 in words is "three trillion, nine hundred seventy-nine billion, two hundred thirty-three million, eighty-six thousand, four hundred".