34401053260 has 96 divisors (see below), whose sum is σ = 83566264320. Its totient is φ = 11652076800.

The previous prime is 34401053257. The next prime is 34401053261. The reversal of 34401053260 is 6235010443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (34401053261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4195765 + ... + 4203955.

It is an arithmetic number, because the mean of its divisors is an integer number (870481920).

Almost surely, 2^34401053260 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 34401053260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783132160).

34401053260 is an abundant number, since it is smaller than the sum of its proper divisors (49165211060).

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

34401053260 is a wasteful number, since it uses less digits than its factorization.

34401053260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8567 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 34401053260 in words is "thirty-four billion, four hundred one million, fifty-three thousand, two hundred sixty".