349972590 has 64 divisors (see below), whose sum is σ = 964535040. Its totient is φ = 80375040.

The previous prime is 349972583. The next prime is 349972613. The reversal of 349972590 is 95279943.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21639 + ... + 34178.

It is an arithmetic number, because the mean of its divisors is an integer number (15070860).

Almost surely, 2^349972590 is an apocalyptic number.

349972590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349972590 is an abundant number, since it is smaller than the sum of its proper divisors (614562450).

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

349972590 is a wasteful number, since it uses less digits than its factorization.

349972590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55857.

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 349972590 is about 18707.5543564625. The cubic root of 349972590 is about 704.7114759207.

The spelling of 349972590 in words is "three hundred forty-nine million, nine hundred seventy-two thousand, five hundred ninety".