34696540625616 has 160 divisors (see below), whose sum is σ = 103963599237120. Its totient is φ = 11058237438336.

The previous prime is 34696540625561. The next prime is 34696540625627. The reversal of 34696540625616 is 61652604569643.

34696540625616 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 6 + 5 + 4 + 0 + 6 + 2 + 5 + 616 = 666.

It is a super-4 number, since 4×34696540625616⁴ (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24172245 + ... + 25567371.

It is an arithmetic number, because the mean of its divisors is an integer number (649772495232).

Almost surely, 2^{34696540625616} is an apocalyptic number.

34696540625616 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 34696540625616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51981799618560).

34696540625616 is an abundant number, since it is smaller than the sum of its proper divisors (69267058611504).

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

34696540625616 is a wasteful number, since it uses less digits than its factorization.

34696540625616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397670 (or 1397658 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 34696540625616 in words is "thirty-four trillion, six hundred ninety-six billion, five hundred forty million, six hundred twenty-five thousand, six hundred sixteen".