346777064832 has 64 divisors (see below), whose sum is σ = 1004865370560. Its totient is φ = 105083957760.

The previous prime is 346777064827. The next prime is 346777064833. The reversal of 346777064832 is 238460777643.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×346777064832³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346777064833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41044198 + ... + 41052645.

It is an arithmetic number, because the mean of its divisors is an integer number (15701021415).

Almost surely, 2^346777064832 is an apocalyptic number.

346777064832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

346777064832 is an abundant number, since it is smaller than the sum of its proper divisors (658088305728).

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

346777064832 is a wasteful number, since it uses less digits than its factorization.

346777064832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82096871 (or 82096859 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 57.

The spelling of 346777064832 in words is "three hundred forty-six billion, seven hundred seventy-seven million, sixty-four thousand, eight hundred thirty-two".