349237504 has 108 divisors (see below), whose sum is σ = 884994768. Its totient is φ = 136012800.

The previous prime is 349237489. The next prime is 349237519. The reversal of 349237504 is 405732943.

It is an interprime number because it is at equal distance from previous prime (349237489) and next prime (349237519).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136719 + ... + 139249.

It is an arithmetic number, because the mean of its divisors is an integer number (8194396).

Almost surely, 2^349237504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349237504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442497384).

349237504 is an abundant number, since it is smaller than the sum of its proper divisors (535757264).

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

349237504 is a wasteful number, since it uses less digits than its factorization.

349237504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 349237504 is about 18687.8972599916. The cubic root of 349237504 is about 704.2177356813.

The spelling of 349237504 in words is "three hundred forty-nine million, two hundred thirty-seven thousand, five hundred four".