381652160 has 112 divisors (see below), whose sum is σ = 951951360. Its totient is φ = 145566720.

The previous prime is 381652127. The next prime is 381652199. The reversal of 381652160 is 61256183.

It is a happy number.

It is a super-4 number, since 4×381652160⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 783437 + ... + 783923.

Almost surely, 2^381652160 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 381652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475975680).

381652160 is an abundant number, since it is smaller than the sum of its proper divisors (570299200).

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

381652160 is a wasteful number, since it uses less digits than its factorization.

381652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 381652160 is about 19535.9197377549. The cubic root of 381652160 is about 725.3638506600.

The spelling of 381652160 in words is "three hundred eighty-one million, six hundred fifty-two thousand, one hundred sixty".