3648750336 has 432 divisors, whose sum is σ = 13300455168. Its totient is φ = 934502400.

The previous prime is 3648750317. The next prime is 3648750359. The reversal of 3648750336 is 6330578463.

3648750336 is a `hidden beast` number, since 3 + 64 + 87 + 503 + 3 + 6 = 666.

It is a super-2 number, since 2×3648750336² = 26626758028920225792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3648750291 and 3648750300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23240370 + ... + 23240526.

Almost surely, 2^3648750336 is an apocalyptic number.

3648750336 is a gapful number since it is divisible by the number (36) 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 3648750336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650227584).

3648750336 is an abundant number, since it is smaller than the sum of its proper divisors (9651704832).

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

3648750336 is a wasteful number, since it uses less digits than its factorization.

3648750336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3648750336 is about 60404.8866897373. The cubic root of 3648750336 is about 1539.5059887309.

The spelling of 3648750336 in words is "three billion, six hundred forty-eight million, seven hundred fifty thousand, three hundred thirty-six".