35670080352 has 96 divisors (see below), whose sum is σ = 95557771008. Its totient is φ = 11646475776.

The previous prime is 35670080321. The next prime is 35670080363. The reversal of 35670080352 is 25308007653.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 35670080352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3266133 + ... + 3277035.

It is an arithmetic number, because the mean of its divisors is an integer number (995393448).

Almost surely, 2^35670080352 is an apocalyptic number.

35670080352 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 35670080352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47778885504).

35670080352 is an abundant number, since it is smaller than the sum of its proper divisors (59887690656).

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

35670080352 is a wasteful number, since it uses less digits than its factorization.

35670080352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11612 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 35670080352 in words is "thirty-five billion, six hundred seventy million, eighty thousand, three hundred fifty-two".