34968370901616 has 240 divisors, whose sum is σ = 103064543697024. Its totient is φ = 11476324000512.

The previous prime is 34968370901599. The next prime is 34968370901623. The reversal of 34968370901616 is 61610907386943.

34968370901616 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 8 + 3 + 7 + 0 + 9 + 0 + 1 + 616 = 666.

It is a super-2 number, since 2×34968370901616² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67552770 + ... + 68068446.

Almost surely, 2^{34968370901616} is an apocalyptic number.

34968370901616 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 34968370901616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51532271848512).

34968370901616 is an abundant number, since it is smaller than the sum of its proper divisors (68096172795408).

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

34968370901616 is a wasteful number, since it uses less digits than its factorization.

34968370901616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515970 (or 515952 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 34968370901616 in words is "thirty-four trillion, nine hundred sixty-eight billion, three hundred seventy million, nine hundred one thousand, six hundred sixteen".