349231006080 has 768 divisors, whose sum is σ = 1358299238400. Its totient is φ = 81937612800.

The previous prime is 349231006031. The next prime is 349231006093. The reversal of 349231006080 is 80600132943.

349231006080 is a `hidden beast` number, since 3 + 49 + 2 + 3 + 1 + 0 + 0 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 729083281 + ... + 729083759.

It is an arithmetic number, because the mean of its divisors is an integer number (1768618800).

Almost surely, 2^349231006080 is an apocalyptic number.

349231006080 is a gapful number since it is divisible by the number (30) 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 349231006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679149619200).

349231006080 is an abundant number, since it is smaller than the sum of its proper divisors (1009068232320).

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

349231006080 is a wasteful number, since it uses less digits than its factorization.

349231006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 349231006080 in words is "three hundred forty-nine billion, two hundred thirty-one million, six thousand, eighty".