3955618800 has 600 divisors, whose sum is σ = 16476552576. Its totient is φ = 890196480.

The previous prime is 3955618783. The next prime is 3955618813. The reversal of 3955618800 is 88165593.

3955618800 is a `hidden beast` number, since 3 + 9 + 5 + 561 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 24267519 + ... + 24267681.

Almost surely, 2^3955618800 is an apocalyptic number.

3955618800 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 3955618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8238276288).

3955618800 is an abundant number, since it is smaller than the sum of its proper divisors (12520933776).

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

3955618800 is a wasteful number, since it uses less digits than its factorization.

3955618800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 3955618800 is about 62893.7103373620. The cubic root of 3955618800 is about 1581.5083070442.

The spelling of 3955618800 in words is "three billion, nine hundred fifty-five million, six hundred eighteen thousand, eight hundred".