34401653632 has 64 divisors (see below), whose sum is σ = 69328094400. Its totient is φ = 17002240000.

The previous prime is 34401653623. The next prime is 34401653659. The reversal of 34401653632 is 23635610443.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 34401653591 and 34401653600.

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, 9293382 + ... + 9297082.

It is an arithmetic number, because the mean of its divisors is an integer number (1083251475).

Almost surely, 2^34401653632 is an apocalyptic number.

34401653632 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 34401653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664047200).

34401653632 is an abundant number, since it is smaller than the sum of its proper divisors (34926440768).

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

34401653632 is a wasteful number, since it uses less digits than its factorization.

34401653632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 34401653632 in words is "thirty-four billion, four hundred one million, six hundred fifty-three thousand, six hundred thirty-two".