381609360 has 160 divisors (see below), whose sum is σ = 1434015360. Its totient is φ = 92505600.

The previous prime is 381609341. The next prime is 381609373. The reversal of 381609360 is 63906183.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 15730 + ... + 31790.

It is an arithmetic number, because the mean of its divisors is an integer number (8962596).

Almost surely, 2^381609360 is an apocalyptic number.

381609360 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 381609360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717007680).

381609360 is an abundant number, since it is smaller than the sum of its proper divisors (1052406000).

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

381609360 is a wasteful number, since it uses less digits than its factorization.

381609360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16094 (or 16082 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 381609360 is about 19534.8242889461. The cubic root of 381609360 is about 725.3367345783.

The spelling of 381609360 in words is "three hundred eighty-one million, six hundred nine thousand, three hundred sixty".