379668308400 has 240 divisors, whose sum is σ = 1352650091520. Its totient is φ = 101146579200.

The previous prime is 379668308333. The next prime is 379668308443. The reversal of 379668308400 is 4803866973.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11463865 + ... + 11496935.

It is an arithmetic number, because the mean of its divisors is an integer number (5636042048).

Almost surely, 2^379668308400 is an apocalyptic number.

379668308400 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 379668308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676325045760).

379668308400 is an abundant number, since it is smaller than the sum of its proper divisors (972981783120).

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

379668308400 is a wasteful number, since it uses less digits than its factorization.

379668308400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34161 (or 34144 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 379668308400 in words is "three hundred seventy-nine billion, six hundred sixty-eight million, three hundred eight thousand, four hundred".