34642251936 has 96 divisors (see below), whose sum is σ = 101086937280. Its totient is φ = 11542042368.

The previous prime is 34642251881. The next prime is 34642251947. The reversal of 34642251936 is 63915224643.

34642251936 is a `hidden beast` number, since 34 + 6 + 422 + 5 + 193 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34642251891 and 34642251900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2132035 + ... + 2148221.

It is an arithmetic number, because the mean of its divisors is an integer number (1052988930).

Almost surely, 2^34642251936 is an apocalyptic number.

34642251936 is a gapful number since it is divisible by the number (36) 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 34642251936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50543468640).

34642251936 is an abundant number, since it is smaller than the sum of its proper divisors (66444685344).

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

34642251936 is a wasteful number, since it uses less digits than its factorization.

34642251936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18683 (or 18669 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 34642251936 in words is "thirty-four billion, six hundred forty-two million, two hundred fifty-one thousand, nine hundred thirty-six".