1385379792 has 120 divisors (see below), whose sum is σ = 4069822848. Its totient is φ = 439084800.

The previous prime is 1385379781. The next prime is 1385379797. The reversal of 1385379792 is 2979735831.

1385379792 is a `hidden beast` number, since 1 + 38 + 537 + 9 + 79 + 2 = 666.

Its product of digits (2857680) is a multiple of the sum of its prime divisors (2520).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385379797) 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, 598317 + ... + 600627.

Almost surely, 2^1385379792 is an apocalyptic number.

1385379792 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 1385379792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034911424).

1385379792 is an abundant number, since it is smaller than the sum of its proper divisors (2684443056).

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

1385379792 is a wasteful number, since it uses less digits than its factorization.

1385379792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2520 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 1385379792 is about 37220.6903751126. The cubic root of 1385379792 is about 1114.7811489739.

The spelling of 1385379792 in words is "one billion, three hundred eighty-five million, three hundred seventy-nine thousand, seven hundred ninety-two".