34998574915668 has 576 divisors, whose sum is σ = 105541615872000. Its totient is φ = 8942050059264.

The previous prime is 34998574915627. The next prime is 34998574915709. The reversal of 34998574915668 is 86651947589943.

It is an interprime number because it is at equal distance from previous prime (34998574915627) and next prime (34998574915709).

It is a super-2 number, since 2×34998574915668² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41714629993 + ... + 41714630831.

It is an arithmetic number, because the mean of its divisors is an integer number (183231972000).

Almost surely, 2^{34998574915668} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34998574915668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52770807936000).

34998574915668 is an abundant number, since it is smaller than the sum of its proper divisors (70543040956332).

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

34998574915668 is a wasteful number, since it uses less digits than its factorization.

34998574915668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1795 counting only the distinct ones).

The product of its digits is 14108774400, while the sum is 84.

The spelling of 34998574915668 in words is "thirty-four trillion, nine hundred ninety-eight billion, five hundred seventy-four million, nine hundred fifteen thousand, six hundred sixty-eight".