350979552 has 576 divisors, whose sum is σ = 1415232000. Its totient is φ = 81285120.

The previous prime is 350979539. The next prime is 350979583. The reversal of 350979552 is 255979053.

350979552 is a `hidden beast` number, since 3 + 5 + 0 + 97 + 9 + 552 = 666.

350979552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 350979498 and 350979507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18472599 + ... + 18472617.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^350979552 is an apocalyptic number.

350979552 is a gapful number since it is divisible by the number (32) 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 350979552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

350979552 is an abundant number, since it is smaller than the sum of its proper divisors (1064252448).

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

350979552 is a wasteful number, since it uses less digits than its factorization.

350979552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 350979552 is about 18734.4482704989. The cubic root of 350979552 is about 705.3867080184.

The spelling of 350979552 in words is "three hundred fifty million, nine hundred seventy-nine thousand, five hundred fifty-two".