3552444000 has 768 divisors, whose sum is σ = 15297085440. Its totient is φ = 783820800.

The previous prime is 3552443987. The next prime is 3552444017. The reversal of 3552444000 is 4442553.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 27971937 + ... + 27972063.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 2^3552444000 is an apocalyptic number.

3552444000 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 3552444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648542720).

3552444000 is an abundant number, since it is smaller than the sum of its proper divisors (11744641440).

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

3552444000 is a wasteful number, since it uses less digits than its factorization.

3552444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 3552444000 is about 59602.3825027154. The cubic root of 3552444000 is about 1525.8402965521.

Adding to 3552444000 its reverse (4442553), we get a palindrome (3556886553).

It can be divided in two parts, 35524 and 44000, that added together give a square (79524 = 282²).

The spelling of 3552444000 in words is "three billion, five hundred fifty-two million, four hundred forty-four thousand".