387660000 has 480 divisors, whose sum is σ = 1587091968. Its totient is φ = 80640000.

The previous prime is 387659977. The next prime is 387660001. The reversal of 387660000 is 66783.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 387660000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387660001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5459965 + ... + 5460035.

Almost surely, 2^387660000 is an apocalyptic number.

387660000 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 387660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793545984).

387660000 is an abundant number, since it is smaller than the sum of its proper divisors (1199431968).

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

387660000 is a wasteful number, since it uses less digits than its factorization.

387660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 387660000 is about 19689.0832696700. The cubic root of 387660000 is about 729.1501964534.

The spelling of 387660000 in words is "three hundred eighty-seven million, six hundred sixty thousand".