379515110400 has 792 divisors, whose sum is σ = 1438829094560. Its totient is φ = 97975664640.

The previous prime is 379515110393. The next prime is 379515110413. The reversal of 379515110400 is 4011515973.

It is a happy number.

379515110400 is a `hidden beast` number, since 3 + 7 + 95 + 151 + 10 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3358540744 + ... + 3358540856.

Almost surely, 2^379515110400 is an apocalyptic number.

379515110400 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 379515110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719414547280).

379515110400 is an abundant number, since it is smaller than the sum of its proper divisors (1059313984160).

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

379515110400 is a wasteful number, since it uses less digits than its factorization.

379515110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 379515110400 in words is "three hundred seventy-nine billion, five hundred fifteen million, one hundred ten thousand, four hundred".