349358880 has 96 divisors (see below), whose sum is σ = 1185153984. Its totient is φ = 85994496.

The previous prime is 349358873. The next prime is 349358923. The reversal of 349358880 is 88853943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21754 + ... + 34233.

It is an arithmetic number, because the mean of its divisors is an integer number (12345354).

Almost surely, 2^349358880 is an apocalyptic number.

349358880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349358880 is an abundant number, since it is smaller than the sum of its proper divisors (835795104).

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

349358880 is a wasteful number, since it uses less digits than its factorization.

349358880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56018 (or 56010 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 349358880 is about 18691.1444272415. The cubic root of 349358880 is about 704.2993088520.

The spelling of 349358880 in words is "three hundred forty-nine million, three hundred fifty-eight thousand, eight hundred eighty".