3944538000 has 400 divisors, whose sum is σ = 15352152816. Its totient is φ = 970444800.

The previous prime is 3944537981. The next prime is 3944538047. The reversal of 3944538000 is 8354493.

It can be written as a sum of positive squares in 8 ways, for example, as 3170140416 + 774397584 = 56304^2 + 27828^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2105064 + ... + 2106936.

Almost surely, 2^3944538000 is an apocalyptic number.

3944538000 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 3944538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676076408).

3944538000 is an abundant number, since it is smaller than the sum of its proper divisors (11407614816).

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

3944538000 is a wasteful number, since it uses less digits than its factorization.

3944538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1896 counting only the distinct ones).

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

The square root of 3944538000 is about 62805.5570789719. The cubic root of 3944538000 is about 1580.0301762116.

The spelling of 3944538000 in words is "three billion, nine hundred forty-four million, five hundred thirty-eight thousand".