347530449272832 has 960 divisors, whose sum is σ = 1185407009095680. Its totient is φ = 98570207232000.

The previous prime is 347530449272821. The next prime is 347530449272833. The reversal of 347530449272832 is 238272944035743.

347530449272832 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 304 + 49 + 2 + 7 + 283 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 347530449272832.

It is not an unprimeable number, because it can be changed into a prime (347530449272833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301937835457 + ... + 301937836607.

It is an arithmetic number, because the mean of its divisors is an integer number (1234798967808).

Almost surely, 2^{347530449272832} is an apocalyptic number.

347530449272832 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 347530449272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592703504547840).

347530449272832 is an abundant number, since it is smaller than the sum of its proper divisors (837876559822848).

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

347530449272832 is a wasteful number, since it uses less digits than its factorization.

347530449272832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 347530449272832 in words is "three hundred forty-seven trillion, five hundred thirty billion, four hundred forty-nine million, two hundred seventy-two thousand, eight hundred thirty-two".