387779392 has 112 divisors (see below), whose sum is σ = 1033345152. Its totient is φ = 139438080.

The previous prime is 387779389. The next prime is 387779393. The reversal of 387779392 is 293977783.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387779393) 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, 61038 + ... + 67090.

It is an arithmetic number, because the mean of its divisors is an integer number (9226296).

Almost surely, 2^387779392 is an apocalyptic number.

387779392 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 387779392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516672576).

387779392 is an abundant number, since it is smaller than the sum of its proper divisors (645565760).

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

387779392 is a wasteful number, since it uses less digits than its factorization.

387779392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 6086 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 55.

The square root of 387779392 is about 19692.1149702108. The cubic root of 387779392 is about 729.2250436259.

The spelling of 387779392 in words is "three hundred eighty-seven million, seven hundred seventy-nine thousand, three hundred ninety-two".