3664084248000 has 2016 divisors, whose sum is σ = 15380745691584. Its totient is φ = 862202880000.

The previous prime is 3664084247947. The next prime is 3664084248007. The reversal of 3664084248000 is 8424804663.

3664084248000 is a `hidden beast` number, since 36 + 64 + 0 + 84 + 2 + 480 + 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 not an unprimeable number, because it can be changed into a prime (3664084248007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8703287790 + ... + 8703288210.

Almost surely, 2^{3664084248000} is an apocalyptic number.

3664084248000 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 3664084248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690372845792).

3664084248000 is an abundant number, since it is smaller than the sum of its proper divisors (11716661443584).

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

3664084248000 is a wasteful number, since it uses less digits than its factorization.

3664084248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3664084248000 in words is "three trillion, six hundred sixty-four billion, eighty-four million, two hundred forty-eight thousand".