34928966585376 has 72 divisors (see below), whose sum is σ = 103008109814064. Its totient is φ = 11642988859200.

The previous prime is 34928966585329. The next prime is 34928966585419. The reversal of 34928966585376 is 67358566982943.

34928966585376 is a `hidden beast` number, since 3 + 4 + 9 + 28 + 9 + 6 + 6 + 58 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×34928966585376² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 34928966585295 and 34928966585304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2245939150 + ... + 2245954701.

It is an arithmetic number, because the mean of its divisors is an integer number (1430668191862).

Almost surely, 2^{34928966585376} is an apocalyptic number.

34928966585376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34928966585376 is an abundant number, since it is smaller than the sum of its proper divisors (68079143228688).

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

34928966585376 is an equidigital number, since it uses as much as digits as its factorization.

34928966585376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491893876 (or 4491893856 counting only the distinct ones).

The product of its digits is 14108774400, while the sum is 81.

The spelling of 34928966585376 in words is "thirty-four trillion, nine hundred twenty-eight billion, nine hundred sixty-six million, five hundred eighty-five thousand, three hundred seventy-six".