34015876416 has 168 divisors, whose sum is σ = 102151305984. Its totient is φ = 10808709120.

The previous prime is 34015876393. The next prime is 34015876423. The reversal of 34015876416 is 61467851043.

34015876416 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 587 + 64 + 1 + 6 = 666.

It is a congruent number.

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, 1182136 + ... + 1210568.

It is an arithmetic number, because the mean of its divisors is an integer number (608043488).

Almost surely, 2^34015876416 is an apocalyptic number.

34015876416 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 34015876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51075652992).

34015876416 is an abundant number, since it is smaller than the sum of its proper divisors (68135429568).

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

34015876416 is a wasteful number, since it uses less digits than its factorization.

34015876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28549 (or 28536 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 34015876416 in words is "thirty-four billion, fifteen million, eight hundred seventy-six thousand, four hundred sixteen".