34896849792 has 384 divisors, whose sum is σ = 115200921600. Its totient is φ = 9311662080.

The previous prime is 34896849791. The next prime is 34896849881. The reversal of 34896849792 is 29794869843.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34896849791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16914553 + ... + 16916615.

It is an arithmetic number, because the mean of its divisors is an integer number (300002400).

Almost surely, 2^34896849792 is an apocalyptic number.

34896849792 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 34896849792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600460800).

34896849792 is an abundant number, since it is smaller than the sum of its proper divisors (80304071808).

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

34896849792 is a wasteful number, since it uses less digits than its factorization.

34896849792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2135 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 69.

The spelling of 34896849792 in words is "thirty-four billion, eight hundred ninety-six million, eight hundred forty-nine thousand, seven hundred ninety-two".