3552984000 has 280 divisors, whose sum is σ = 13146529968. Its totient is φ = 947289600.

The previous prime is 3552983977. The next prime is 3552984013. The reversal of 3552984000 is 4892553.

3552984000 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 645259 + ... + 650741.

Almost surely, 2^3552984000 is an apocalyptic number.

3552984000 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 3552984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573264984).

3552984000 is an abundant number, since it is smaller than the sum of its proper divisors (9593545968).

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

3552984000 is an equidigital number, since it uses as much as digits as its factorization.

3552984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3552984000 is about 59606.9123508339. The cubic root of 3552984000 is about 1525.9176059589.

The spelling of 3552984000 in words is "three billion, five hundred fifty-two million, nine hundred eighty-four thousand".