34572628480 has 480 divisors, whose sum is σ = 98300708352. Its totient is φ = 11564974080.

The previous prime is 34572628471. The next prime is 34572628501. The reversal of 34572628480 is 8482627543.

It is a super-2 number, since 2×34572628480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735587817 + ... + 735587863.

Almost surely, 2^34572628480 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 34572628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49150354176).

34572628480 is an abundant number, since it is smaller than the sum of its proper divisors (63728079872).

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

34572628480 is a wasteful number, since it uses less digits than its factorization.

34572628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 34572628480 in words is "thirty-four billion, five hundred seventy-two million, six hundred twenty-eight thousand, four hundred eighty".