349488840960 has 216 divisors, whose sum is σ = 1381937444160. Its totient is φ = 79883145216.

The previous prime is 349488840923. The next prime is 349488840971. The reversal of 349488840960 is 69048884943.

349488840960 is a `hidden beast` number, since 3 + 4 + 94 + 8 + 88 + 409 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2086330 + ... + 2247609.

Almost surely, 2^349488840960 is an apocalyptic number.

349488840960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349488840960 is an abundant number, since it is smaller than the sum of its proper divisors (1032448603200).

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

349488840960 is a wasteful number, since it uses less digits than its factorization.

349488840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333973 (or 4333956 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 349488840960 in words is "three hundred forty-nine billion, four hundred eighty-eight million, eight hundred forty thousand, nine hundred sixty".