34742852352 has 162 divisors, whose sum is σ = 108471713532. Its totient is φ = 10689988608.

The previous prime is 34742852327. The next prime is 34742852359. The reversal of 34742852352 is 25325824743.

34742852352 is a `hidden beast` number, since 3 + 4 + 74 + 2 + 8 + 523 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34742852298 and 34742852307.

It is not an unprimeable number, because it can be changed into a prime (34742852359) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 344763 + ... + 433989.

Almost surely, 2^34742852352 is an apocalyptic number.

34742852352 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 34742852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54235856766).

34742852352 is an abundant number, since it is smaller than the sum of its proper divisors (73728861180).

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

34742852352 is a wasteful number, since it uses less digits than its factorization.

34742852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89275 (or 89245 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 34742852352 in words is "thirty-four billion, seven hundred forty-two million, eight hundred fifty-two thousand, three hundred fifty-two".