351790920 has 96 divisors (see below), whose sum is σ = 1231284600. Its totient is φ = 86593536.

The previous prime is 351790919. The next prime is 351790927. The reversal of 351790920 is 29097153.

It can be written as a sum of positive squares in 4 ways, for example, as 243172836 + 108618084 = 15594^2 + 10422^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (351790927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32905 + ... + 42264.

Almost surely, 2^351790920 is an apocalyptic number.

351790920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351790920 is an abundant number, since it is smaller than the sum of its proper divisors (879493680).

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

351790920 is a wasteful number, since it uses less digits than its factorization.

351790920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75199 (or 75192 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 351790920 is about 18756.0902109155. The cubic root of 351790920 is about 705.9298429324.

The spelling of 351790920 in words is "three hundred fifty-one million, seven hundred ninety thousand, nine hundred twenty".