387113904 has 200 divisors, whose sum is σ = 1200320000. Its totient is φ = 120092544.

The previous prime is 387113891. The next prime is 387113917. The reversal of 387113904 is 409311783.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (387113891) and next prime (387113917).

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 39 ways as a sum of consecutive naturals, for example, 1945197 + ... + 1945395.

It is an arithmetic number, because the mean of its divisors is an integer number (6001600).

Almost surely, 2^387113904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387113904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600160000).

387113904 is an abundant number, since it is smaller than the sum of its proper divisors (813206096).

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

387113904 is a wasteful number, since it uses less digits than its factorization.

387113904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 387113904 is about 19675.2103927760. The cubic root of 387113904 is about 728.8076513307.

The spelling of 387113904 in words is "three hundred eighty-seven million, one hundred thirteen thousand, nine hundred four".