34861406976 has 216 divisors, whose sum is σ = 109838763216. Its totient is φ = 10546053120.

The previous prime is 34861406953. The next prime is 34861407001. The reversal of 34861406976 is 67960416843.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29221036 + ... + 29222228.

Almost surely, 2^34861406976 is an apocalyptic number.

34861406976 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 34861406976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54919381608).

34861406976 is an abundant number, since it is smaller than the sum of its proper divisors (74977356240).

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

34861406976 is a wasteful number, since it uses less digits than its factorization.

34861406976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34861406976 in words is "thirty-four billion, eight hundred sixty-one million, four hundred six thousand, nine hundred seventy-six".