379975680 has 576 divisors, whose sum is σ = 1635379200. Its totient is φ = 79626240.

The previous prime is 379975669. The next prime is 379975733. The reversal of 379975680 is 86579973.

379975680 is a `hidden beast` number, since 3 + 79 + 9 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 12257265 + ... + 12257295.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2^379975680 is an apocalyptic number.

379975680 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 379975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817689600).

379975680 is an abundant number, since it is smaller than the sum of its proper divisors (1255403520).

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

379975680 is a wasteful number, since it uses less digits than its factorization.

379975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 379975680 is about 19492.9648847988. The cubic root of 379975680 is about 724.3001919474.

The spelling of 379975680 in words is "three hundred seventy-nine million, nine hundred seventy-five thousand, six hundred eighty".