3663884640 has 192 divisors, whose sum is σ = 12733060032. Its totient is φ = 879820800.

The previous prime is 3663884537. The next prime is 3663884657. The reversal of 3663884640 is 464883663.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3663884640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248680 + ... + 263000.

It is an arithmetic number, because the mean of its divisors is an integer number (66318021).

Almost surely, 2^3663884640 is an apocalyptic number.

3663884640 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 3663884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366530016).

3663884640 is an abundant number, since it is smaller than the sum of its proper divisors (9069175392).

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

3663884640 is a wasteful number, since it uses less digits than its factorization.

3663884640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14393 (or 14385 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The square root of 3663884640 is about 60530.0308937638. The cubic root of 3663884640 is about 1541.6315760149.

It can be divided in two parts, 36638 and 84640, that added together give a triangular number (121278 = T₄₉₂).

The spelling of 3663884640 in words is "three billion, six hundred sixty-three million, eight hundred eighty-four thousand, six hundred forty".