34038653970816 has 896 divisors, whose sum is σ = 116657237975040. Its totient is φ = 9787727093760.

The previous prime is 34038653970809. The next prime is 34038653970899. The reversal of 34038653970816 is 61807935683043.

34038653970816 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 86 + 539 + 7 + 0 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2998202196 + ... + 2998213548.

It is an arithmetic number, because the mean of its divisors is an integer number (130197810240).

Almost surely, 2^{34038653970816} is an apocalyptic number.

34038653970816 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 34038653970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58328618987520).

34038653970816 is an abundant number, since it is smaller than the sum of its proper divisors (82618584004224).

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

34038653970816 is a wasteful number, since it uses less digits than its factorization.

34038653970816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11546 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 34038653970816 in words is "thirty-four trillion, thirty-eight billion, six hundred fifty-three million, nine hundred seventy thousand, eight hundred sixteen".