34820637696 has 440 divisors, whose sum is σ = 114736544384. Its totient is φ = 10450944000.

The previous prime is 34820637661. The next prime is 34820637757. The reversal of 34820637696 is 69673602843.

34820637696 is a `hidden beast` number, since 3 + 482 + 0 + 6 + 3 + 76 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46365321 + ... + 46366071.

Almost surely, 2^34820637696 is an apocalyptic number.

34820637696 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 34820637696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57368272192).

34820637696 is an abundant number, since it is smaller than the sum of its proper divisors (79915906688).

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

34820637696 is a wasteful number, since it uses less digits than its factorization.

34820637696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 34820637696 in words is "thirty-four billion, eight hundred twenty million, six hundred thirty-seven thousand, six hundred ninety-six".