3643558464 has 336 divisors, whose sum is σ = 12479341056. Its totient is φ = 929940480.

The previous prime is 3643558453. The next prime is 3643558469. The reversal of 3643558464 is 4648553463.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (4147200) is a multiple of the sum of its prime factors (135).

It is not an unprimeable number, because it can be changed into a prime (3643558469) 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, 117534129 + ... + 117534159.

It is an arithmetic number, because the mean of its divisors is an integer number (37140896).

Almost surely, 2^3643558464 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 3643558464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239670528).

3643558464 is an abundant number, since it is smaller than the sum of its proper divisors (8835782592).

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

3643558464 is an equidigital number, since it uses as much as digits as its factorization.

3643558464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 56 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The square root of 3643558464 is about 60361.8957952780. The cubic root of 3643558464 is about 1538.7754452673.

The spelling of 3643558464 in words is "three billion, six hundred forty-three million, five hundred fifty-eight thousand, four hundred sixty-four".