387339840 has 224 divisors, whose sum is σ = 1381109760. Its totient is φ = 102187008.

The previous prime is 387339839. The next prime is 387339853. The reversal of 387339840 is 48933783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097104 + ... + 1097456.

Almost surely, 2^387339840 is an apocalyptic number.

387339840 is a gapful number since it is divisible by the number (30) 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 387339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690554880).

387339840 is an abundant number, since it is smaller than the sum of its proper divisors (993769920).

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

387339840 is a wasteful number, since it uses less digits than its factorization.

387339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 387339840 is about 19680.9511965250. The cubic root of 387339840 is about 728.9494113822.

The spelling of 387339840 in words is "three hundred eighty-seven million, three hundred thirty-nine thousand, eight hundred forty".