381422664 has 144 divisors (see below), whose sum is σ = 1218959820. Its totient is φ = 107412480.

The previous prime is 381422653. The next prime is 381422683. The reversal of 381422664 is 466224183.

It can be written as a sum of positive squares in 2 ways, for example, as 381420900 + 1764 = 19530^2 + 42^2 .

It is a super-2 number, since 2×381422664² = 290966497225713792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256804 + ... + 258284.

Almost surely, 2^381422664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381422664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609479910).

381422664 is an abundant number, since it is smaller than the sum of its proper divisors (837537156).

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

381422664 is a wasteful number, since it uses less digits than its factorization.

381422664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1566 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 381422664 is about 19530.0451612381. The cubic root of 381422664 is about 725.2184289926.

The spelling of 381422664 in words is "three hundred eighty-one million, four hundred twenty-two thousand, six hundred sixty-four".