3643553980 has 48 divisors (see below), whose sum is σ = 8369980416. Its totient is φ = 1321289280.

The previous prime is 3643553971. The next prime is 3643553983. The reversal of 3643553980 is 893553463.

3643553980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3643553980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643553983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58177 + ... + 103303.

It is an arithmetic number, because the mean of its divisors is an integer number (174374592).

Almost surely, 2^3643553980 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 3643553980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184990208).

3643553980 is an abundant number, since it is smaller than the sum of its proper divisors (4726426436).

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

3643553980 is a wasteful number, since it uses less digits than its factorization.

3643553980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45514 (or 45512 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The square root of 3643553980 is about 60361.8586526293. The cubic root of 3643553980 is about 1538.7748140280.

The spelling of 3643553980 in words is "three billion, six hundred forty-three million, five hundred fifty-three thousand, nine hundred eighty".