3168840398400 has 840 divisors, whose sum is σ = 12358667566080. Its totient is φ = 794167234560.

The previous prime is 3168840398389. The next prime is 3168840398401. The reversal of 3168840398400 is 48930488613.

3168840398400 is a `hidden beast` number, since 3 + 168 + 8 + 40 + 39 + 8 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3168840398401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 312719734 + ... + 312729866.

Almost surely, 2^{3168840398400} is an apocalyptic number.

3168840398400 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 3168840398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179333783040).

3168840398400 is an abundant number, since it is smaller than the sum of its proper divisors (9189827167680).

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

3168840398400 is a wasteful number, since it uses less digits than its factorization.

3168840398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10313 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3168840398400 in words is "three trillion, one hundred sixty-eight billion, eight hundred forty million, three hundred ninety-eight thousand, four hundred".