34542004992 has 288 divisors, whose sum is σ = 105148592640. Its totient is φ = 9964584960.

The previous prime is 34542004961. The next prime is 34542005041. The reversal of 34542004992 is 29940024543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75584028 + ... + 75584484.

It is an arithmetic number, because the mean of its divisors is an integer number (365099280).

Almost surely, 2^34542004992 is an apocalyptic number.

34542004992 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 34542004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52574296320).

34542004992 is an abundant number, since it is smaller than the sum of its proper divisors (70606587648).

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

34542004992 is a wasteful number, since it uses less digits than its factorization.

34542004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 34542004992 in words is "thirty-four billion, five hundred forty-two million, four thousand, nine hundred ninety-two".