34456836096 has 72 divisors (see below), whose sum is σ = 99517721940. Its totient is φ = 11485605888.

The previous prime is 34456836047. The next prime is 34456836097. The reversal of 34456836096 is 69063865443.

34456836096 is a `hidden beast` number, since 3 + 44 + 568 + 36 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34456836097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 916270 + ... + 953133.

Almost surely, 2^34456836096 is an apocalyptic number.

34456836096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34456836096 is an abundant number, since it is smaller than the sum of its proper divisors (65060885844).

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

34456836096 is a wasteful number, since it uses less digits than its factorization.

34456836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869431 (or 1869408 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 34456836096 in words is "thirty-four billion, four hundred fifty-six million, eight hundred thirty-six thousand, ninety-six".