34545726432 has 576 divisors, whose sum is σ = 124792012800. Its totient is φ = 8842245120.

The previous prime is 34545726431. The next prime is 34545726443. The reversal of 34545726432 is 23462754543.

34545726432 is a `hidden beast` number, since 3 + 4 + 545 + 72 + 6 + 4 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34545726431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55808619 + ... + 55809237.

It is an arithmetic number, because the mean of its divisors is an integer number (216652800).

Almost surely, 2^34545726432 is an apocalyptic number.

34545726432 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 34545726432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62396006400).

34545726432 is an abundant number, since it is smaller than the sum of its proper divisors (90246286368).

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

34545726432 is a wasteful number, since it uses less digits than its factorization.

34545726432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 45.

The spelling of 34545726432 in words is "thirty-four billion, five hundred forty-five million, seven hundred twenty-six thousand, four hundred thirty-two".