34850716992 has 448 divisors, whose sum is σ = 133525808640. Its totient is φ = 8650063872.

The previous prime is 34850716933. The next prime is 34850717003. The reversal of 34850716992 is 29961705843.

34850716992 is a `hidden beast` number, since 3 + 48 + 507 + 1 + 6 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2666698 + ... + 2679734.

It is an arithmetic number, because the mean of its divisors is an integer number (298048680).

It is a 1-persistent number, because it is pandigital, but 2⋅34850716992 = 69701433984 is not.

Almost surely, 2^34850716992 is an apocalyptic number.

34850716992 is a gapful number since it is divisible by the number (32) 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 34850716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66762904320).

34850716992 is an abundant number, since it is smaller than the sum of its proper divisors (98675091648).

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

34850716992 is a wasteful number, since it uses less digits than its factorization.

34850716992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095 (or 13079 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 34850716992 in words is "thirty-four billion, eight hundred fifty million, seven hundred sixteen thousand, nine hundred ninety-two".