34405971516 has 108 divisors (see below), whose sum is σ = 101840728080. Its totient is φ = 9765100800.

The previous prime is 34405971511. The next prime is 34405971541. The reversal of 34405971516 is 61517950443.

34405971516 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 597 + 1 + 51 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34405971511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201780 + ... + 330948.

Almost surely, 2^34405971516 is an apocalyptic number.

34405971516 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 34405971516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50920364040).

34405971516 is an abundant number, since it is smaller than the sum of its proper divisors (67434756564).

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

34405971516 is a wasteful number, since it uses less digits than its factorization.

34405971516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129344 (or 129332 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 34405971516 in words is "thirty-four billion, four hundred five million, nine hundred seventy-one thousand, five hundred sixteen".