379979974800 has 720 divisors, whose sum is σ = 1408926559040. Its totient is φ = 98291128320.

The previous prime is 379979974793. The next prime is 379979974823. The reversal of 379979974800 is 8479979973.

379979974800 is a `hidden beast` number, since 3 + 79 + 9 + 79 + 9 + 7 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 957128202 + ... + 957128598.

Almost surely, 2^379979974800 is an apocalyptic number.

379979974800 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 379979974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704463279520).

379979974800 is an abundant number, since it is smaller than the sum of its proper divisors (1028946584240).

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

379979974800 is a wasteful number, since it uses less digits than its factorization.

379979974800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 216040608, while the sum is 72.

The spelling of 379979974800 in words is "three hundred seventy-nine billion, nine hundred seventy-nine million, nine hundred seventy-four thousand, eight hundred".