3883622400 has 756 divisors, whose sum is σ = 16558691292. Its totient is φ = 867041280.

The previous prime is 3883622399. The next prime is 3883622419. The reversal of 3883622400 is 42263883.

3883622400 is a `hidden beast` number, since 388 + 36 + 2 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 90316779 + ... + 90316821.

Almost surely, 2^3883622400 is an apocalyptic number.

3883622400 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 3883622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279345646).

3883622400 is an abundant number, since it is smaller than the sum of its proper divisors (12675068892).

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

3883622400 is a wasteful number, since it uses less digits than its factorization.

3883622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3883622400 is about 62318.7162897311. The cubic root of 3883622400 is about 1571.8544627613.

The spelling of 3883622400 in words is "three billion, eight hundred eighty-three million, six hundred twenty-two thousand, four hundred".