34494532992 has 640 divisors, whose sum is σ = 116018749440. Its totient is φ = 10116513792.

The previous prime is 34494532979. The next prime is 34494532999. The reversal of 34494532992 is 29923549443.

34494532992 is a `hidden beast` number, since 34 + 494 + 5 + 32 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34494532999) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 271610433 + ... + 271610559.

It is an arithmetic number, because the mean of its divisors is an integer number (181279296).

Almost surely, 2^34494532992 is an apocalyptic number.

34494532992 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 34494532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58009374720).

34494532992 is an abundant number, since it is smaller than the sum of its proper divisors (81524216448).

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

34494532992 is a wasteful number, since it uses less digits than its factorization.

34494532992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 34494532992 in words is "thirty-four billion, four hundred ninety-four million, five hundred thirty-two thousand, nine hundred ninety-two".