34742432716992 has 3584 divisors, whose sum is σ = 151206081331200. Its totient is φ = 7618738176000.

The previous prime is 34742432716987. The next prime is 34742432716997. The reversal of 34742432716992 is 29961723424743.

34742432716992 is a `hidden beast` number, since 3 + 4 + 7 + 42 + 432 + 71 + 6 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (34742432716987) and next prime (34742432716997).

It is a super-2 number, since 2×34742432716992² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34742432716997) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 82523592942 + ... + 82523593362.

It is an arithmetic number, because the mean of its divisors is an integer number (42189196800).

Almost surely, 2^{34742432716992} is an apocalyptic number.

34742432716992 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 34742432716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75603040665600).

34742432716992 is an abundant number, since it is smaller than the sum of its proper divisors (116463648614208).

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

34742432716992 is a wasteful number, since it uses less digits than its factorization.

34742432716992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 507 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 34742432716992 in words is "thirty-four trillion, seven hundred forty-two billion, four hundred thirty-two million, seven hundred sixteen thousand, nine hundred ninety-two".