381153360 has 120 divisors (see below), whose sum is σ = 1374528096. Its totient is φ = 87118080.

The previous prime is 381153341. The next prime is 381153361. The reversal of 381153360 is 63351183.

381153360 is digitally balanced in base 3 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381153361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4446 + ... + 27965.

Almost surely, 2^381153360 is an apocalyptic number.

381153360 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 381153360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687264048).

381153360 is an abundant number, since it is smaller than the sum of its proper divisors (993374736).

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

381153360 is a wasteful number, since it uses less digits than its factorization.

381153360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32441 (or 32428 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 381153360 is about 19523.1493361087. The cubic root of 381153360 is about 725.0477083151.

The spelling of 381153360 in words is "three hundred eighty-one million, one hundred fifty-three thousand, three hundred sixty".