381169152 has 400 divisors, whose sum is σ = 1414096992. Its totient is φ = 99532800.

The previous prime is 381169147. The next prime is 381169171. The reversal of 381169152 is 251961183.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3773902 + ... + 3774002.

Almost surely, 2^381169152 is an apocalyptic number.

381169152 is a gapful number since it is divisible by the number (32) 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 381169152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707048496).

381169152 is an abundant number, since it is smaller than the sum of its proper divisors (1032927840).

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

381169152 is a wasteful number, since it uses less digits than its factorization.

381169152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 381169152 is about 19523.5537748638. The cubic root of 381169152 is about 725.0577216033.

The spelling of 381169152 in words is "three hundred eighty-one million, one hundred sixty-nine thousand, one hundred fifty-two".