34682940864 has 1008 divisors, whose sum is σ = 130793435136. Its totient is φ = 8648294400.

The previous prime is 34682940863. The next prime is 34682940931. The reversal of 34682940864 is 46804928643.

34682940864 is a `hidden beast` number, since 346 + 8 + 294 + 0 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34682940864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34682940863) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 737934889 + ... + 737934935.

It is an arithmetic number, because the mean of its divisors is an integer number (129755392).

Almost surely, 2^34682940864 is an apocalyptic number.

34682940864 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 34682940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65396717568).

34682940864 is an abundant number, since it is smaller than the sum of its proper divisors (96110494272).

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

34682940864 is a wasteful number, since it uses less digits than its factorization.

34682940864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 34682940864 in words is "thirty-four billion, six hundred eighty-two million, nine hundred forty thousand, eight hundred sixty-four".