34536734048 has 48 divisors (see below), whose sum is σ = 69206757984. Its totient is φ = 16961218560.

The previous prime is 34536734009. The next prime is 34536734053. The reversal of 34536734048 is 84043763543.

It is a junction number, because it is equal to n+sod(n) for n = 34536733993 and 34536734011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1406936 + ... + 1431272.

It is an arithmetic number, because the mean of its divisors is an integer number (1441807458).

Almost surely, 2^34536734048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34536734048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34603378992).

34536734048 is an abundant number, since it is smaller than the sum of its proper divisors (34670023936).

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

34536734048 is a wasteful number, since it uses less digits than its factorization.

34536734048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25135 (or 25127 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 47.

The spelling of 34536734048 in words is "thirty-four billion, five hundred thirty-six million, seven hundred thirty-four thousand, forty-eight".