354685312 has 128 divisors (see below), whose sum is σ = 793152000. Its totient is φ = 157280256.

The previous prime is 354685249. The next prime is 354685313. The reversal of 354685312 is 213586453.

354685312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (86400) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354685313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3314763 + ... + 3314869.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^354685312 is an apocalyptic number.

354685312 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 354685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396576000).

354685312 is an abundant number, since it is smaller than the sum of its proper divisors (438466688).

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

354685312 is a wasteful number, since it uses less digits than its factorization.

354685312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 354685312 is about 18833.0908774954. The cubic root of 354685312 is about 707.8605915734.

The spelling of 354685312 in words is "three hundred fifty-four million, six hundred eighty-five thousand, three hundred twelve".