381354320 has 80 divisors (see below), whose sum is σ = 944136000. Its totient is φ = 142838784.

The previous prime is 381354289. The next prime is 381354349. The reversal of 381354320 is 23453183.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×381354320² = 290862234765324800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133871 + ... + 136689.

It is an arithmetic number, because the mean of its divisors is an integer number (11801700).

Almost surely, 2^381354320 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 381354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472068000).

381354320 is an abundant number, since it is smaller than the sum of its proper divisors (562781680).

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

381354320 is a wasteful number, since it uses less digits than its factorization.

381354320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 381354320 is about 19528.2953685159. The cubic root of 381354320 is about 725.1751110904.

The spelling of 381354320 in words is "three hundred eighty-one million, three hundred fifty-four thousand, three hundred twenty".