34097237632656 has 405 divisors, whose sum is σ = 108457185280899. Its totient is φ = 9992182780800.

The previous prime is 34097237632637. The next prime is 34097237632691. The reversal of 34097237632656 is 65623673279043.

The square root of 34097237632656 is 5839284.

It is a perfect power (a square), and thus also a powerful number.

34097237632656 is a `hidden beast` number, since 3 + 409 + 72 + 3 + 76 + 32 + 65 + 6 = 666.

It is a super-2 number, since 2×34097237632656² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34097237632593 and 34097237632602.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23894349415 + ... + 23894350841.

Almost surely, 2^{34097237632656} is an apocalyptic number.

34097237632656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34097237632656 is the 5839284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34097237632656

34097237632656 is an abundant number, since it is smaller than the sum of its proper divisors (74359947648243).

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

34097237632656 is a wasteful number, since it uses less digits than its factorization.

34097237632656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 63.

The spelling of 34097237632656 in words is "thirty-four trillion, ninety-seven billion, two hundred thirty-seven million, six hundred thirty-two thousand, six hundred fifty-six".