349038902520 has 256 divisors, whose sum is σ = 1450551628800. Its totient is φ = 72527546880.

The previous prime is 349038902491. The next prime is 349038902543. The reversal of 349038902520 is 25209830943.

It is a happy number.

349038902520 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 38 + 90 + 2 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2015439 + ... + 2181758.

It is an arithmetic number, because the mean of its divisors is an integer number (5666217300).

Almost surely, 2^349038902520 is an apocalyptic number.

349038902520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349038902520 is an abundant number, since it is smaller than the sum of its proper divisors (1101512726280).

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

349038902520 is a wasteful number, since it uses less digits than its factorization.

349038902520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197235 (or 4197225 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 349038902520 in words is "three hundred forty-nine billion, thirty-eight million, nine hundred two thousand, five hundred twenty".