3663862272000 has 1248 divisors, whose sum is σ = 15263303887104. Its totient is φ = 828112896000.

The previous prime is 3663862271983. The next prime is 3663862272047. The reversal of 3663862272000 is 2722683663.

3663862272000 is a `hidden beast` number, since 3 + 6 + 638 + 6 + 2 + 2 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3128831415 + ... + 3128832585.

It is an arithmetic number, because the mean of its divisors is an integer number (12230211448).

Almost surely, 2^{3663862272000} is an apocalyptic number.

3663862272000 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 3663862272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7631651943552).

3663862272000 is an abundant number, since it is smaller than the sum of its proper divisors (11599441615104).

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

3663862272000 is a wasteful number, since it uses less digits than its factorization.

3663862272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3663862272000 in words is "three trillion, six hundred sixty-three billion, eight hundred sixty-two million, two hundred seventy-two thousand".