381202176 has 144 divisors (see below), whose sum is σ = 1054376960. Its totient is φ = 122204160.

The previous prime is 381202153. The next prime is 381202177. The reversal of 381202176 is 671202183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381202177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3700941 + ... + 3701043.

Almost surely, 2^381202176 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 381202176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527188480).

381202176 is an abundant number, since it is smaller than the sum of its proper divisors (673174784).

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

381202176 is a wasteful number, since it uses less digits than its factorization.

381202176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 381202176 is about 19524.3995042101. The cubic root of 381202176 is about 725.0786603515.

The spelling of 381202176 in words is "three hundred eighty-one million, two hundred two thousand, one hundred seventy-six".