3744882000 has 120 divisors (see below), whose sum is σ = 13079687400. Its totient is φ = 998630400.

The previous prime is 3744881977. The next prime is 3744882013. The reversal of 3744882000 is 2884473.

3744882000 is a `hidden beast` number, since 3 + 7 + 448 + 8 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44836416 + 3700045584 = 6696^2 + 60828^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 86025 + ... + 122024.

It is an arithmetic number, because the mean of its divisors is an integer number (108997395).

Almost surely, 2^3744882000 is an apocalyptic number.

3744882000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3744882000 is an abundant number, since it is smaller than the sum of its proper divisors (9334805400).

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

3744882000 is a wasteful number, since it uses less digits than its factorization.

3744882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208078 (or 208059 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3744882000 is about 61195.4410066632. The cubic root of 3744882000 is about 1552.9091393691.

The spelling of 3744882000 in words is "three billion, seven hundred forty-four million, eight hundred eighty-two thousand".