34752396049632 has 96 divisors (see below), whose sum is σ = 101532086076960. Its totient is φ = 11564597053440.

The previous prime is 34752396049571. The next prime is 34752396049639. The reversal of 34752396049632 is 23694069325743.

34752396049632 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 23 + 96 + 0 + 496 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 34752396049632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34752396049639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33402219 + ... + 34426922.

It is an arithmetic number, because the mean of its divisors is an integer number (1057625896635).

Almost surely, 2^{34752396049632} is an apocalyptic number.

34752396049632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34752396049632 is an abundant number, since it is smaller than the sum of its proper divisors (66779690027328).

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

34752396049632 is a wasteful number, since it uses less digits than its factorization.

34752396049632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67829753 (or 67829739 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 34752396049632 in words is "thirty-four trillion, seven hundred fifty-two billion, three hundred ninety-six million, forty-nine thousand, six hundred thirty-two".