3555552000 has 1152 divisors, whose sum is σ = 16285022208. Its totient is φ = 663552000.

The previous prime is 3555551971. The next prime is 3555552017. The reversal of 3555552000 is 2555553.

3555552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96095982 + ... + 96096018.

It is an arithmetic number, because the mean of its divisors is an integer number (14136304).

Almost surely, 2^3555552000 is an apocalyptic number.

3555552000 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 3555552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142511104).

3555552000 is an abundant number, since it is smaller than the sum of its proper divisors (12729470208).

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

3555552000 is a wasteful number, since it uses less digits than its factorization.

3555552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 30.

The square root of 3555552000 is about 59628.4495857472. The cubic root of 3555552000 is about 1526.2851479757.

It can be divided in two parts, 3555 and 552000, that added together give a palindrome (555555).

The spelling of 3555552000 in words is "three billion, five hundred fifty-five million, five hundred fifty-two thousand".