381753216 has 256 divisors, whose sum is σ = 1259496000. Its totient is φ = 113025024.

The previous prime is 381753199. The next prime is 381753247. The reversal of 381753216 is 612357183.

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 31 ways as a sum of consecutive naturals, for example, 1302766 + ... + 1303058.

Almost surely, 2^381753216 is an apocalyptic number.

381753216 is a gapful number since it is divisible by the number (36) 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 381753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629748000).

381753216 is an abundant number, since it is smaller than the sum of its proper divisors (877742784).

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

381753216 is a wasteful number, since it uses less digits than its factorization.

381753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 381753216 is about 19538.5059817786. The cubic root of 381753216 is about 725.4278669800.

The spelling of 381753216 in words is "three hundred eighty-one million, seven hundred fifty-three thousand, two hundred sixteen".