34668756491616 has 384 divisors, whose sum is σ = 109467572860800. Its totient is φ = 10611364331520.

The previous prime is 34668756491519. The next prime is 34668756491617. The reversal of 34668756491616 is 61619465786643.

34668756491616 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 8 + 75 + 6 + 491 + 61 + 6 = 666.

It is a super-3 number, since 3×34668756491616³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34668756491617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2644646470 + ... + 2644659578.

It is an arithmetic number, because the mean of its divisors is an integer number (285071804325).

Almost surely, 2^{34668756491616} is an apocalyptic number.

34668756491616 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 34668756491616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54733786430400).

34668756491616 is an abundant number, since it is smaller than the sum of its proper divisors (74798816369184).

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

34668756491616 is a wasteful number, since it uses less digits than its factorization.

34668756491616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14359 (or 14345 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 34668756491616 in words is "thirty-four trillion, six hundred sixty-eight billion, seven hundred fifty-six million, four hundred ninety-one thousand, six hundred sixteen".