3655242800 has 240 divisors, whose sum is σ = 10528254720. Its totient is φ = 1203840000.

The previous prime is 3655242797. The next prime is 3655242809. The reversal of 3655242800 is 82425563.

3655242800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3655242809) 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, 1921850 + ... + 1923750.

It is an arithmetic number, because the mean of its divisors is an integer number (43867728).

Almost surely, 2^3655242800 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 3655242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264127360).

3655242800 is an abundant number, since it is smaller than the sum of its proper divisors (6873011920).

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

3655242800 is a wasteful number, since it uses less digits than its factorization.

3655242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 3655242800 is about 60458.6040196100. The cubic root of 3655242800 is about 1540.4185627884.

The spelling of 3655242800 in words is "three billion, six hundred fifty-five million, two hundred forty-two thousand, eight hundred".