379926806400 has 1344 divisors, whose sum is σ = 1503803437920. Its totient is φ = 94595973120.

The previous prime is 379926806323. The next prime is 379926806401. The reversal of 379926806400 is 4608629973.

It is a happy number.

379926806400 is a `hidden beast` number, since 3 + 79 + 92 + 6 + 80 + 6 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379926806401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3916771152 + ... + 3916771248.

Almost surely, 2^379926806400 is an apocalyptic number.

379926806400 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 379926806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751901718960).

379926806400 is an abundant number, since it is smaller than the sum of its proper divisors (1123876631520).

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

379926806400 is an equidigital number, since it uses as much as digits as its factorization.

379926806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 379926806400 in words is "three hundred seventy-nine billion, nine hundred twenty-six million, eight hundred six thousand, four hundred".