34651394275968 has 512 divisors, whose sum is σ = 111227563008000. Its totient is φ = 10579789209600.

The previous prime is 34651394275891. The next prime is 34651394275969. The reversal of 34651394275968 is 86957249315643.

34651394275968 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 1 + 3 + 9 + 4 + 27 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34651394275896 and 34651394275905.

It is not an unprimeable number, because it can be changed into a prime (34651394275969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2383661596 + ... + 2383676132.

It is an arithmetic number, because the mean of its divisors is an integer number (217241334000).

Almost surely, 2^{34651394275968} is an apocalyptic number.

34651394275968 is a gapful number since it is divisible by the number (38) 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 34651394275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55613781504000).

34651394275968 is an abundant number, since it is smaller than the sum of its proper divisors (76576168732032).

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

34651394275968 is a wasteful number, since it uses less digits than its factorization.

34651394275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15781 (or 15763 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 34651394275968 in words is "thirty-four trillion, six hundred fifty-one billion, three hundred ninety-four million, two hundred seventy-five thousand, nine hundred sixty-eight".