34881975440 has 160 divisors (see below), whose sum is σ = 90216413280. Its totient is φ = 12461948928.

The previous prime is 34881975439. The next prime is 34881975481. The reversal of 34881975440 is 4457918843.

It can be written as a sum of positive squares in 16 ways, for example, as 9169211536 + 25712763904 = 95756^2 + 160352^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

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 31 ways as a sum of consecutive naturals, for example, 4019426 + ... + 4028094.

It is an arithmetic number, because the mean of its divisors is an integer number (563852583).

Almost surely, 2^34881975440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34881975440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45108206640).

34881975440 is an abundant number, since it is smaller than the sum of its proper divisors (55334437840).

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

34881975440 is a wasteful number, since it uses less digits than its factorization.

34881975440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 34881975440 in words is "thirty-four billion, eight hundred eighty-one million, nine hundred seventy-five thousand, four hundred forty".