34944616080 has 960 divisors, whose sum is σ = 144390758400. Its totient is φ = 7732454400.

The previous prime is 34944616073. The next prime is 34944616097. The reversal of 34944616080 is 8061644943.

34944616080 is a `hidden beast` number, since 3 + 49 + 446 + 160 + 8 + 0 = 666.

It is a super-2 number, since 2×34944616080² (a number of 22 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153940927 + ... + 153941153.

It is an arithmetic number, because the mean of its divisors is an integer number (150407040).

Almost surely, 2^34944616080 is an apocalyptic number.

34944616080 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 34944616080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72195379200).

34944616080 is an abundant number, since it is smaller than the sum of its proper divisors (109446142320).

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

34944616080 is a wasteful number, since it uses less digits than its factorization.

34944616080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34944616080 in words is "thirty-four billion, nine hundred forty-four million, six hundred sixteen thousand, eighty".