34239255552 has 352 divisors, whose sum is σ = 108616112640. Its totient is φ = 10616832000.

The previous prime is 34239255527. The next prime is 34239255563. The reversal of 34239255552 is 25555293243.

34239255552 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 92 + 5 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34239255498 and 34239255507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45591177 + ... + 45591927.

Almost surely, 2^34239255552 is an apocalyptic number.

34239255552 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 34239255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54308056320).

34239255552 is an abundant number, since it is smaller than the sum of its proper divisors (74376857088).

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

34239255552 is a wasteful number, since it uses less digits than its factorization.

34239255552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 870 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

The spelling of 34239255552 in words is "thirty-four billion, two hundred thirty-nine million, two hundred fifty-five thousand, five hundred fifty-two".