34879546332 has 72 divisors (see below), whose sum is σ = 88884432000. Its totient is φ = 11532165408.

The previous prime is 34879546321. The next prime is 34879546369. The reversal of 34879546332 is 23364597843.

34879546332 is a `hidden beast` number, since 3 + 487 + 95 + 46 + 3 + 32 = 666.

It is a super-3 number, since 3×34879546332³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6837919 + ... + 6843017.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506000).

Almost surely, 2^34879546332 is an apocalyptic number.

It is an amenable number.

34879546332 is an abundant number, since it is smaller than the sum of its proper divisors (54004885668).

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

34879546332 is a wasteful number, since it uses less digits than its factorization.

34879546332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6610 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 34879546332 in words is "thirty-four billion, eight hundred seventy-nine million, five hundred forty-six thousand, three hundred thirty-two".