34716860640 has 432 divisors, whose sum is σ = 150345402480. Its totient is φ = 7213731840.

The previous prime is 34716860621. The next prime is 34716860663. The reversal of 34716860640 is 4606861743.

It is a happy number.

34716860640 is a `hidden beast` number, since 3 + 471 + 68 + 60 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 753796 + ... + 798524.

It is an arithmetic number, because the mean of its divisors is an integer number (348021765).

Almost surely, 2^34716860640 is an apocalyptic number.

34716860640 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 34716860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75172701240).

34716860640 is an abundant number, since it is smaller than the sum of its proper divisors (115628541840).

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

34716860640 is a wasteful number, since it uses less digits than its factorization.

34716860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44775 (or 44757 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34716860640 in words is "thirty-four billion, seven hundred sixteen million, eight hundred sixty thousand, six hundred forty".