34476688217664 has 2240 divisors, whose sum is σ = 137359441612800. Its totient is φ = 8346123878400.

The previous prime is 34476688217641. The next prime is 34476688217677. The reversal of 34476688217664 is 46671288667443.

34476688217664 is a `hidden beast` number, since 3 + 4 + 476 + 6 + 8 + 8 + 21 + 76 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34476688217592 and 34476688217601.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 163396626519 + ... + 163396626729.

Almost surely, 2^{34476688217664} is an apocalyptic number.

34476688217664 is a gapful number since it is divisible by the number (34) 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 34476688217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68679720806400).

34476688217664 is an abundant number, since it is smaller than the sum of its proper divisors (102882753395136).

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

34476688217664 is a wasteful number, since it uses less digits than its factorization.

34476688217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 450 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 34476688217664 in words is "thirty-four trillion, four hundred seventy-six billion, six hundred eighty-eight million, two hundred seventeen thousand, six hundred sixty-four".