34654679640 has 576 divisors, whose sum is σ = 135176895360. Its totient is φ = 7673702400.

The previous prime is 34654679627. The next prime is 34654679651. The reversal of 34654679640 is 4697645643.

It is a happy number.

34654679640 is a `hidden beast` number, since 3 + 4 + 6 + 546 + 7 + 96 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94426737 + ... + 94427103.

It is an arithmetic number, because the mean of its divisors is an integer number (234682110).

Almost surely, 2^34654679640 is an apocalyptic number.

34654679640 is a gapful number since it is divisible by the number (30) 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 34654679640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67588447680).

34654679640 is an abundant number, since it is smaller than the sum of its proper divisors (100522215720).

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

34654679640 is a wasteful number, since it uses less digits than its factorization.

34654679640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 34654679640 in words is "thirty-four billion, six hundred fifty-four million, six hundred seventy-nine thousand, six hundred forty".