3648250368000 has 2496 divisors, whose sum is σ = 16074469232640. Its totient is φ = 808206336000.

The previous prime is 3648250367999. The next prime is 3648250368019. The reversal of 3648250368000 is 8630528463.

It is a happy number.

3648250368000 is a `hidden beast` number, since 3 + 6 + 4 + 82 + 503 + 68 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3648250368000² (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 51383807965 + ... + 51383808035.

It is an arithmetic number, because the mean of its divisors is an integer number (6440091840).

Almost surely, 2^{3648250368000} is an apocalyptic number.

3648250368000 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 3648250368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037234616320).

3648250368000 is an abundant number, since it is smaller than the sum of its proper divisors (12426218864640).

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

3648250368000 is an frugal number, since it uses more digits than its factorization.

3648250368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3648250368000 in words is "three trillion, six hundred forty-eight billion, two hundred fifty million, three hundred sixty-eight thousand".