1382314752 has 432 divisors, whose sum is σ = 5178351360. Its totient is φ = 344383488.

The previous prime is 1382314729. The next prime is 1382314753. The reversal of 1382314752 is 2574132831.

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

It is not an unprimeable number, because it can be changed into a prime (1382314753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3983443 + ... + 3983789.

Almost surely, 2^1382314752 is an apocalyptic number.

1382314752 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 1382314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589175680).

1382314752 is an abundant number, since it is smaller than the sum of its proper divisors (3796036608).

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

1382314752 is a wasteful number, since it uses less digits than its factorization.

1382314752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 391 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1382314752 is about 37179.4937028465. The cubic root of 1382314752 is about 1113.9584210914.

The spelling of 1382314752 in words is "one billion, three hundred eighty-two million, three hundred fourteen thousand, seven hundred fifty-two".