3668256000 has 432 divisors, whose sum is σ = 13530037248. Its totient is φ = 953856000.

The previous prime is 3668255999. The next prime is 3668256001. The reversal of 3668256000 is 6528663.

3668256000 is a `hidden beast` number, since 36 + 68 + 2 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3668255999) and next prime (3668256001).

It is a super-2 number, since 2×3668256000² = 26912204163072000000, which contains 22 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 (3668256001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13535865 + ... + 13536135.

Almost surely, 2^3668256000 is an apocalyptic number.

3668256000 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 3668256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765018624).

3668256000 is an abundant number, since it is smaller than the sum of its proper divisors (9861781248).

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

3668256000 is a wasteful number, since it uses less digits than its factorization.

3668256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3668256000 is about 60566.1291482294. The cubic root of 3668256000 is about 1542.2444363116.

The spelling of 3668256000 in words is "three billion, six hundred sixty-eight million, two hundred fifty-six thousand".