349384015872 has 476 divisors, whose sum is σ = 1072735395264. Its totient is φ = 113706270720.

The previous prime is 349384015819. The next prime is 349384015909. The reversal of 349384015872 is 278510483943.

It is a happy number.

349384015872 is a `hidden beast` number, since 3 + 49 + 384 + 0 + 158 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3392077773 + ... + 3392077875.

Almost surely, 2^349384015872 is an apocalyptic number.

349384015872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349384015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536367697632).

349384015872 is an abundant number, since it is smaller than the sum of its proper divisors (723351379392).

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

349384015872 is an frugal number, since it uses more digits than its factorization.

349384015872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 349384015872 in words is "three hundred forty-nine billion, three hundred eighty-four million, fifteen thousand, eight hundred seventy-two".