3400564560 has 160 divisors (see below), whose sum is σ = 10817938560. Its totient is φ = 883353600.

The previous prime is 3400564537. The next prime is 3400564589. The reversal of 3400564560 is 654650043.

3400564560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594695 + ... + 1596825.

It is an arithmetic number, because the mean of its divisors is an integer number (67612116).

Almost surely, 2^3400564560 is an apocalyptic number.

3400564560 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 3400564560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408969280).

3400564560 is an abundant number, since it is smaller than the sum of its proper divisors (7417374000).

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

3400564560 is a wasteful number, since it uses less digits than its factorization.

3400564560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 3400564560 is about 58314.3598095701. The cubic root of 3400564560 is about 1503.7778196205. Note that the first 3 decimals are identical.

The spelling of 3400564560 in words is "three billion, four hundred million, five hundred sixty-four thousand, five hundred sixty".