3538944000 has 336 divisors, whose sum is σ = 13086222240. Its totient is φ = 943718400.

The previous prime is 3538943981. The next prime is 3538944053. The reversal of 3538944000 is 4498353.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (5!)³ ⋅ (2!)¹¹.

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 15 ways as a sum of consecutive naturals, for example, 707788798 + ... + 707788802.

It is an arithmetic number, because the mean of its divisors is an integer number (38947090).

Almost surely, 2^3538944000 is an apocalyptic number.

3538944000 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 3538944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543111120).

3538944000 is an abundant number, since it is smaller than the sum of its proper divisors (9547278240).

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

3538944000 is an frugal number, since it uses more digits than its factorization.

3538944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3538944000 is about 59489.0241977459. The cubic root of 3538944000 is about 1523.9050098895.

The spelling of 3538944000 in words is "three billion, five hundred thirty-eight million, nine hundred forty-four thousand".