354643920 has 160 divisors (see below), whose sum is σ = 1237242240. Its totient is φ = 94525056.

The previous prime is 354643901. The next prime is 354643943. The reversal of 354643920 is 29346453.

354643920 is a `hidden beast` number, since 3 + 5 + 4 + 643 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173947 + ... + 175973.

It is an arithmetic number, because the mean of its divisors is an integer number (7732764).

Almost surely, 2^354643920 is an apocalyptic number.

354643920 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 354643920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618621120).

354643920 is an abundant number, since it is smaller than the sum of its proper divisors (882598320).

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

354643920 is an equidigital number, since it uses as much as digits as its factorization.

354643920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 354643920 is about 18831.9919286304. The cubic root of 354643920 is about 707.8330545761.

The spelling of 354643920 in words is "three hundred fifty-four million, six hundred forty-three thousand, nine hundred twenty".