34854854440 has 72 divisors (see below), whose sum is σ = 91248884910. Its totient is φ = 11947401984.

The previous prime is 34854854417. The next prime is 34854854483. The reversal of 34854854440 is 4445845843.

It can be written as a sum of positive squares in 3 ways, for example, as 34842702244 + 12152196 = 186662^2 + 3486^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8263212 + ... + 8267428.

Almost surely, 2^34854854440 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 34854854440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45624442455).

34854854440 is an abundant number, since it is smaller than the sum of its proper divisors (56394030470).

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

34854854440 is an frugal number, since it uses more digits than its factorization.

34854854440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8459 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 49.

The spelling of 34854854440 in words is "thirty-four billion, eight hundred fifty-four million, eight hundred fifty-four thousand, four hundred forty".