3738493440 has 600 divisors, whose sum is σ = 14816825100. Its totient is φ = 900218880.

The previous prime is 3738493417. The next prime is 3738493441. The reversal of 3738493440 is 443948373.

It can be written as a sum of positive squares in 2 ways, for example, as 3434897664 + 303595776 = 58608^2 + 17424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3738493441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25090486 + ... + 25090634.

Almost surely, 2^3738493440 is an apocalyptic number.

3738493440 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 3738493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408412550).

3738493440 is an abundant number, since it is smaller than the sum of its proper divisors (11078331660).

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

3738493440 is a wasteful number, since it uses less digits than its factorization.

3738493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3738493440 is about 61143.2207198803. The cubic root of 3738493440 is about 1552.0255779254.

The spelling of 3738493440 in words is "three billion, seven hundred thirty-eight million, four hundred ninety-three thousand, four hundred forty".