354314368 has 64 divisors (see below), whose sum is σ = 734889600. Its totient is φ = 170007552.

The previous prime is 354314347. The next prime is 354314371. The reversal of 354314368 is 863413453.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373671 + ... + 374617.

It is an arithmetic number, because the mean of its divisors is an integer number (11482650).

Almost surely, 2^354314368 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 354314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367444800).

354314368 is an abundant number, since it is smaller than the sum of its proper divisors (380575232).

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

354314368 is an equidigital number, since it uses as much as digits as its factorization.

354314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 354314368 is about 18823.2401036591. The cubic root of 354314368 is about 707.6137359136.

The spelling of 354314368 in words is "three hundred fifty-four million, three hundred fourteen thousand, three hundred sixty-eight".