34877728632 has 256 divisors, whose sum is σ = 102021120000. Its totient is φ = 9855571968.

The previous prime is 34877728607. The next prime is 34877728643. The reversal of 34877728632 is 23682777843.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35480413 + ... + 35481395.

It is an arithmetic number, because the mean of its divisors is an integer number (398520000).

Almost surely, 2^34877728632 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 34877728632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51010560000).

34877728632 is an abundant number, since it is smaller than the sum of its proper divisors (67143391368).

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

34877728632 is a wasteful number, since it uses less digits than its factorization.

34877728632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1246 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 57.

The spelling of 34877728632 in words is "thirty-four billion, eight hundred seventy-seven million, seven hundred twenty-eight thousand, six hundred thirty-two".