387089280 has 384 divisors, whose sum is σ = 1470268800. Its totient is φ = 97044480.

The previous prime is 387089279. The next prime is 387089317. The reversal of 387089280 is 82980783.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×387089280² = 299676221381836800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2954815 + ... + 2954945.

It is an arithmetic number, because the mean of its divisors is an integer number (3828825).

Almost surely, 2^387089280 is an apocalyptic number.

387089280 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 387089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735134400).

387089280 is an abundant number, since it is smaller than the sum of its proper divisors (1083179520).

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

387089280 is a wasteful number, since it uses less digits than its factorization.

387089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 387089280 is about 19674.5846207741. The cubic root of 387089280 is about 728.7921980494.

The spelling of 387089280 in words is "three hundred eighty-seven million, eighty-nine thousand, two hundred eighty".