3744138240 has 264 divisors, whose sum is σ = 13071536088. Its totient is φ = 990904320.

The previous prime is 3744138197. The next prime is 3744138247. The reversal of 3744138240 is 428314473.

3744138240 is a `hidden beast` number, since 374 + 41 + 3 + 8 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109495296 + 3634642944 = 10464^2 + 60288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3744138195 and 3744138204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744138247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8893230 + ... + 8893650.

Almost surely, 2^3744138240 is an apocalyptic number.

3744138240 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 3744138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535768044).

3744138240 is an abundant number, since it is smaller than the sum of its proper divisors (9327397848).

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

3744138240 is a wasteful number, since it uses less digits than its factorization.

3744138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3744138240 is about 61189.3637816247. The cubic root of 3744138240 is about 1552.8063263233.

The spelling of 3744138240 in words is "three billion, seven hundred forty-four million, one hundred thirty-eight thousand, two hundred forty".