3564400440 has 128 divisors (see below), whose sum is σ = 11119680000. Its totient is φ = 912941568.

The previous prime is 3564400403. The next prime is 3564400457. The reversal of 3564400440 is 440044653.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3564400398 and 3564400407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689947 + ... + 695093.

It is an arithmetic number, because the mean of its divisors is an integer number (86872500).

Almost surely, 2^3564400440 is an apocalyptic number.

3564400440 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 3564400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559840000).

3564400440 is an abundant number, since it is smaller than the sum of its proper divisors (7555279560).

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

3564400440 is a wasteful number, since it uses less digits than its factorization.

3564400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3564400440 is about 59702.5999433861. The cubic root of 3564400440 is about 1527.5502168831.

The spelling of 3564400440 in words is "three billion, five hundred sixty-four million, four hundred thousand, four hundred forty".