3659904000 has 440 divisors, whose sum is σ = 13678266888. Its totient is φ = 973209600.

The previous prime is 3659903987. The next prime is 3659904043. The reversal of 3659904000 is 4099563.

It can be written as a sum of positive squares in 4 ways, for example, as 241864704 + 3418039296 = 15552^2 + 58464^2 .

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367824 + ... + 10368176.

Almost surely, 2^3659904000 is an apocalyptic number.

3659904000 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 3659904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839133444).

3659904000 is an abundant number, since it is smaller than the sum of its proper divisors (10018362888).

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

3659904000 is an equidigital number, since it uses as much as digits as its factorization.

3659904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3659904000 is about 60497.1404282880. The cubic root of 3659904000 is about 1541.0730700694.

The spelling of 3659904000 in words is "three billion, six hundred fifty-nine million, nine hundred four thousand".