34790914319616 has 3024 divisors, whose sum is σ = 139843256831040. Its totient is φ = 8532986757120.

The previous prime is 34790914319593. The next prime is 34790914319641. The reversal of 34790914319616 is 61691341909743.

34790914319616 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 0 + 9 + 1 + 4 + 3 + 1 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-3 number, since 3×34790914319616³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 164885849751 + ... + 164885849961.

Almost surely, 2^{34790914319616} is an apocalyptic number.

34790914319616 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 34790914319616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69921628415520).

34790914319616 is an abundant number, since it is smaller than the sum of its proper divisors (105052342511424).

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

34790914319616 is a wasteful number, since it uses less digits than its factorization.

34790914319616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 34790914319616 in words is "thirty-four trillion, seven hundred ninety billion, nine hundred fourteen million, three hundred nineteen thousand, six hundred sixteen".