349085376 has 70 divisors (see below), whose sum is σ = 1034813780. Its totient is φ = 116360064.

The previous prime is 349085369. The next prime is 349085411. The reversal of 349085376 is 673580943.

It is a super-2 number, since 2×349085376² = 243721199474122752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28486 + ... + 38853.

It is an arithmetic number, because the mean of its divisors is an integer number (14783054).

Almost surely, 2^349085376 is an apocalyptic number.

349085376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349085376 is an abundant number, since it is smaller than the sum of its proper divisors (685728404).

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

349085376 is an equidigital number, since it uses as much as digits as its factorization.

349085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67363 (or 67344 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 349085376 is about 18683.8265887906. The cubic root of 349085376 is about 704.1154683191.

The spelling of 349085376 in words is "three hundred forty-nine million, eighty-five thousand, three hundred seventy-six".