34693712640 has 432 divisors, whose sum is σ = 126316060416. Its totient is φ = 9115545600.

The previous prime is 34693712623. The next prime is 34693712819. The reversal of 34693712640 is 4621739643.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 47 ways as a sum of consecutive naturals, for example, 22083055 + ... + 22084625.

It is an arithmetic number, because the mean of its divisors is an integer number (292398288).

Almost surely, 2^34693712640 is an apocalyptic number.

34693712640 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 34693712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63158030208).

34693712640 is an abundant number, since it is smaller than the sum of its proper divisors (91622347776).

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

34693712640 is an equidigital number, since it uses as much as digits as its factorization.

34693712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 34693712640 in words is "thirty-four billion, six hundred ninety-three million, seven hundred twelve thousand, six hundred forty".