34866094963392 has 420 divisors, whose sum is σ = 129833175527440. Its totient is φ = 9056127421440.

The previous prime is 34866094963387. The next prime is 34866094963471. The reversal of 34866094963392 is 29336949066843.

It is a happy number.

34866094963392 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 60 + 94 + 96 + 3 + 392 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34866094963392.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 420534 + ... + 8361162.

Almost surely, 2^{34866094963392} is an apocalyptic number.

34866094963392 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 34866094963392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64916587763720).

34866094963392 is an abundant number, since it is smaller than the sum of its proper divisors (94967080564048).

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

34866094963392 is a wasteful number, since it uses less digits than its factorization.

34866094963392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940682 (or 7940652 counting only the distinct ones).

The product of its (nonzero) digits is 1088391168, while the sum is 72.

The spelling of 34866094963392 in words is "thirty-four trillion, eight hundred sixty-six billion, ninety-four million, nine hundred sixty-three thousand, three hundred ninety-two".