1383272352 has 576 divisors, whose sum is σ = 5346432000. Its totient is φ = 335301120.

The previous prime is 1383272327. The next prime is 1383272459. The reversal of 1383272352 is 2532723831.

1383272352 is a `hidden beast` number, since 1 + 38 + 3 + 272 + 352 = 666.

It is a super-2 number, since 2×1383272352² = 3826884799615223808, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20645823 + ... + 20645889.

It is an arithmetic number, because the mean of its divisors is an integer number (9282000).

Almost surely, 2^1383272352 is an apocalyptic number.

1383272352 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 1383272352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673216000).

1383272352 is an abundant number, since it is smaller than the sum of its proper divisors (3963159648).

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

1383272352 is a wasteful number, since it uses less digits than its factorization.

1383272352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 1383272352 is about 37192.3695400011. The cubic root of 1383272352 is about 1114.2155936715.

The spelling of 1383272352 in words is "one billion, three hundred eighty-three million, two hundred seventy-two thousand, three hundred fifty-two".