3663792000 has 640 divisors, whose sum is σ = 14902224480. Its totient is φ = 884736000.

The previous prime is 3663791981. The next prime is 3663792001. The reversal of 3663792000 is 2973663.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×3663792000³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663792001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14255872 + ... + 14256128.

Almost surely, 2^3663792000 is an apocalyptic number.

3663792000 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 3663792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451112240).

3663792000 is an abundant number, since it is smaller than the sum of its proper divisors (11238432480).

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

3663792000 is a wasteful number, since it uses less digits than its factorization.

3663792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3663792000 is about 60529.2656489404. The cubic root of 3663792000 is about 1541.6185827061.

The spelling of 3663792000 in words is "three billion, six hundred sixty-three million, seven hundred ninety-two thousand".