34728984576 has 720 divisors, whose sum is σ = 124233590208. Its totient is φ = 9555148800.

The previous prime is 34728984571. The next prime is 34728984607. The reversal of 34728984576 is 67548982743.

34728984576 is a `hidden beast` number, since 3 + 472 + 8 + 98 + 4 + 5 + 76 = 666.

It is a super-2 number, since 2×34728984576² (a number of 22 digits) contains 22 as substring.

Its product of digits (81285120) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (34728984571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569327586 + ... + 569327646.

Almost surely, 2^34728984576 is an apocalyptic number.

34728984576 is a gapful number since it is divisible by the number (36) 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 34728984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62116795104).

34728984576 is an abundant number, since it is smaller than the sum of its proper divisors (89504605632).

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

34728984576 is an equidigital number, since it uses as much as digits as its factorization.

34728984576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 34728984576 in words is "thirty-four billion, seven hundred twenty-eight million, nine hundred eighty-four thousand, five hundred seventy-six".