34854045840 has 120 divisors (see below), whose sum is σ = 117112589880. Its totient is φ = 9289562112.

The previous prime is 34854045817. The next prime is 34854045883. The reversal of 34854045840 is 4854045843.

It can be written as a sum of positive squares in 4 ways, for example, as 1334294784 + 33519751056 = 36528^2 + 183084^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×34854045840² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1492494 + ... + 1515666.

It is an arithmetic number, because the mean of its divisors is an integer number (975938249).

Almost surely, 2^34854045840 is an apocalyptic number.

34854045840 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 34854045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58556294940).

34854045840 is an abundant number, since it is smaller than the sum of its proper divisors (82258544040).

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

34854045840 is a wasteful number, since it uses less digits than its factorization.

34854045840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25281 (or 25272 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 34854045840 in words is "thirty-four billion, eight hundred fifty-four million, forty-five thousand, eight hundred forty".