34452634513920 has 960 divisors, whose sum is σ = 137308108075776. Its totient is φ = 7328852213760.

The previous prime is 34452634513901. The next prime is 34452634513981. The reversal of 34452634513920 is 2931543625443.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320194530 + ... + 320302110.

Almost surely, 2^{34452634513920} is an apocalyptic number.

34452634513920 is a gapful number since it is divisible by the number (30) 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 34452634513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68654054037888).

34452634513920 is an abundant number, since it is smaller than the sum of its proper divisors (102855473561856).

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

34452634513920 is a wasteful number, since it uses less digits than its factorization.

34452634513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107681 (or 107658 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 34452634513920 in words is "thirty-four trillion, four hundred fifty-two billion, six hundred thirty-four million, five hundred thirteen thousand, nine hundred twenty".