3558672000 has 384 divisors, whose sum is σ = 13770403920. Its totient is φ = 875520000.

The previous prime is 3558671989. The next prime is 3558672037. The reversal of 3558672000 is 2768553.

3558672000 is a `hidden beast` number, since 3 + 5 + 586 + 72 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 238146624 + 3320525376 = 15432^2 + 57624^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1871050 + ... + 1872950.

Almost surely, 2^3558672000 is an apocalyptic number.

3558672000 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 3558672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885201960).

3558672000 is an abundant number, since it is smaller than the sum of its proper divisors (10211731920).

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

3558672000 is a wasteful number, since it uses less digits than its factorization.

3558672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3558672000 is about 59654.6058573854. The cubic root of 3558672000 is about 1526.7314563081.

The spelling of 3558672000 in words is "three billion, five hundred fifty-eight million, six hundred seventy-two thousand".