370579968 has 160 divisors (see below), whose sum is σ = 1197155520. Its totient is φ = 112250880.

The previous prime is 370579961. The next prime is 370579973. The reversal of 370579968 is 869975073.

370579968 is a `hidden beast` number, since 3 + 7 + 0 + 579 + 9 + 68 = 666.

370579968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (370579961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150846 + ... + 153282.

It is an arithmetic number, because the mean of its divisors is an integer number (7482222).

Almost surely, 2^370579968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 370579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598577760).

370579968 is an abundant number, since it is smaller than the sum of its proper divisors (826575552).

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

370579968 is a wasteful number, since it uses less digits than its factorization.

370579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2453 counting only the distinct ones).

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

The square root of 370579968 is about 19250.4537089389. The cubic root of 370579968 is about 718.2803404519.

The spelling of 370579968 in words is "three hundred seventy million, five hundred seventy-nine thousand, nine hundred sixty-eight".