34887713472 has 420 divisors, whose sum is σ = 109867903200. Its totient is φ = 10940728320.

The previous prime is 34887713449. The next prime is 34887713513. The reversal of 34887713472 is 27431778843.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 234145654 + ... + 234145802.

Almost surely, 2^34887713472 is an apocalyptic number.

34887713472 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 34887713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54933951600).

34887713472 is an abundant number, since it is smaller than the sum of its proper divisors (74980189728).

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

34887713472 is a wasteful number, since it uses less digits than its factorization.

34887713472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 232 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 34887713472 in words is "thirty-four billion, eight hundred eighty-seven million, seven hundred thirteen thousand, four hundred seventy-two".