354309312 has 224 divisors, whose sum is σ = 1123614720. Its totient is φ = 96445440.

The previous prime is 354309259. The next prime is 354309317. The reversal of 354309312 is 213903453.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 354309312.

It is not an unprimeable number, because it can be changed into a prime (354309317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4484889 + ... + 4484967.

Almost surely, 2^354309312 is an apocalyptic number.

354309312 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 354309312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561807360).

354309312 is an abundant number, since it is smaller than the sum of its proper divisors (769305408).

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

354309312 is a wasteful number, since it uses less digits than its factorization.

354309312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 354309312 is about 18823.1058011158. The cubic root of 354309312 is about 707.6103700589.

The spelling of 354309312 in words is "three hundred fifty-four million, three hundred nine thousand, three hundred twelve".