1382744832 has 144 divisors (see below), whose sum is σ = 4342044672. Its totient is φ = 382279680.

The previous prime is 1382744729. The next prime is 1382744837. The reversal of 1382744832 is 2384472831.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1382744837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162508 + ... + 170804.

It is an arithmetic number, because the mean of its divisors is an integer number (30153088).

Almost surely, 2^1382744832 is an apocalyptic number.

1382744832 is a gapful number since it is divisible by the number (12) 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 1382744832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171022336).

1382744832 is an abundant number, since it is smaller than the sum of its proper divisors (2959299840).

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

1382744832 is an equidigital number, since it uses as much as digits as its factorization.

1382744832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8340 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 1382744832 is about 37185.2770865029. The cubic root of 1382744832 is about 1114.0739378503.

The spelling of 1382744832 in words is "one billion, three hundred eighty-two million, seven hundred forty-four thousand, eight hundred thirty-two".