3640744800 has 864 divisors, whose sum is σ = 16623936000. Its totient is φ = 752716800.

The previous prime is 3640744777. The next prime is 3640744813. The reversal of 3640744800 is 84470463.

3640744800 is a `hidden beast` number, since 3 + 640 + 7 + 4 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18295101 + ... + 18295299.

Almost surely, 2^3640744800 is an apocalyptic number.

3640744800 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 3640744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311968000).

3640744800 is an abundant number, since it is smaller than the sum of its proper divisors (12983191200).

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

3640744800 is a wasteful number, since it uses less digits than its factorization.

3640744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3640744800 is about 60338.5846701760. The cubic root of 3640744800 is about 1538.3792472394.

The spelling of 3640744800 in words is "three billion, six hundred forty million, seven hundred forty-four thousand, eight hundred".