346200527872 has 88 divisors (see below), whose sum is σ = 723596486400. Its totient is φ = 165243150336.

The previous prime is 346200527857. The next prime is 346200527891. The reversal of 346200527872 is 278725002643.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11973529 + ... + 12002407.

Almost surely, 2^346200527872 is an apocalyptic number.

346200527872 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 346200527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361798243200).

346200527872 is an abundant number, since it is smaller than the sum of its proper divisors (377395958528).

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

346200527872 is a wasteful number, since it uses less digits than its factorization.

346200527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29431 (or 29413 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 346200527872 in words is "three hundred forty-six billion, two hundred million, five hundred twenty-seven thousand, eight hundred seventy-two".