387638640 has 120 divisors (see below), whose sum is σ = 1337095968. Its totient is φ = 100569600.

The previous prime is 387638633. The next prime is 387638651. The reversal of 387638640 is 46836783.

387638640 is a `hidden beast` number, since 3 + 8 + 7 + 638 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19365 + ... + 33915.

Almost surely, 2^387638640 is an apocalyptic number.

387638640 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 387638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668547984).

387638640 is an abundant number, since it is smaller than the sum of its proper divisors (949457328).

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

387638640 is a wasteful number, since it uses less digits than its factorization.

387638640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14607 (or 14598 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 387638640 is about 19688.5408296298. The cubic root of 387638640 is about 729.1368041902.

The spelling of 387638640 in words is "three hundred eighty-seven million, six hundred thirty-eight thousand, six hundred forty".