387079392 has 192 divisors, whose sum is σ = 1270370304. Its totient is φ = 100638720.

The previous prime is 387079391. The next prime is 387079393. The reversal of 387079392 is 293970783.

It is an interprime number because it is at equal distance from previous prime (387079391) and next prime (387079393).

It is a super-2 number, since 2×387079392² = 299660911422179328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387079391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353598 + ... + 354690.

It is an arithmetic number, because the mean of its divisors is an integer number (6616512).

Almost surely, 2^387079392 is an apocalyptic number.

387079392 is a gapful number since it is divisible by the number (32) 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 387079392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635185152).

387079392 is an abundant number, since it is smaller than the sum of its proper divisors (883290912).

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

387079392 is a wasteful number, since it uses less digits than its factorization.

387079392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 387079392 is about 19674.3333305096. Note that the first 5 decimals coincide. The cubic root of 387079392 is about 728.7859924538.

The spelling of 387079392 in words is "three hundred eighty-seven million, seventy-nine thousand, three hundred ninety-two".