357985872 has 80 divisors (see below), whose sum is σ = 1038266880. Its totient is φ = 118084608.

The previous prime is 357985843. The next prime is 357985877. The reversal of 357985872 is 278589753.

357985872 is a `hidden beast` number, since 3 + 57 + 9 + 8 + 587 + 2 = 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 (357985877) 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, 37633 + ... + 46175.

It is an arithmetic number, because the mean of its divisors is an integer number (12978336).

Almost surely, 2^357985872 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 357985872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519133440).

357985872 is an abundant number, since it is smaller than the sum of its proper divisors (680281008).

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

357985872 is a wasteful number, since it uses less digits than its factorization.

357985872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8657 (or 8645 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 357985872 is about 18920.5145807401. The cubic root of 357985872 is about 710.0495052435.

The spelling of 357985872 in words is "three hundred fifty-seven million, nine hundred eighty-five thousand, eight hundred seventy-two".