3581400564 has 144 divisors (see below), whose sum is σ = 11026649088. Its totient is φ = 957870144.

The previous prime is 3581400551. The next prime is 3581400569. The reversal of 3581400564 is 4650041853.

It is a happy number.

3581400564 is a `hidden beast` number, since 3 + 58 + 1 + 40 + 0 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3581400569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265839 + ... + 278985.

It is an arithmetic number, because the mean of its divisors is an integer number (76573952).

Almost surely, 2^3581400564 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 3581400564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513324544).

3581400564 is an abundant number, since it is smaller than the sum of its proper divisors (7445248524).

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

3581400564 is a wasteful number, since it uses less digits than its factorization.

3581400564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13234 (or 13229 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3581400564 is about 59844.8039849743. The cubic root of 3581400564 is about 1529.9748759171.

The spelling of 3581400564 in words is "three billion, five hundred eighty-one million, four hundred thousand, five hundred sixty-four".