34457267572 has 192 divisors, whose sum is σ = 78572229120. Its totient is φ = 12861628416.

The previous prime is 34457267569. The next prime is 34457267573. The reversal of 34457267572 is 27576275443.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457267573) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60557304 + ... + 60557872.

It is an arithmetic number, because the mean of its divisors is an integer number (409230360).

Almost surely, 2^34457267572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34457267572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39286114560).

34457267572 is an abundant number, since it is smaller than the sum of its proper divisors (44114961548).

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

34457267572 is a wasteful number, since it uses less digits than its factorization.

34457267572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 760 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 52.

The spelling of 34457267572 in words is "thirty-four billion, four hundred fifty-seven million, two hundred sixty-seven thousand, five hundred seventy-two".