34494979680 has 576 divisors, whose sum is σ = 142694576640. Its totient is φ = 7623797760.

The previous prime is 34494979663. The next prime is 34494979697. The reversal of 34494979680 is 8697949443.

34494979680 is a `hidden beast` number, since 3 + 449 + 49 + 79 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (34494979663) and next prime (34494979697).

It is a super-2 number, since 2×34494979680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 29060047 + ... + 29061233.

It is an arithmetic number, because the mean of its divisors is an integer number (247733640).

Almost surely, 2^34494979680 is an apocalyptic number.

34494979680 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 34494979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71347288320).

34494979680 is an abundant number, since it is smaller than the sum of its proper divisors (108199596960).

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

34494979680 is a wasteful number, since it uses less digits than its factorization.

34494979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 34494979680 in words is "thirty-four billion, four hundred ninety-four million, nine hundred seventy-nine thousand, six hundred eighty".