381368820 has 192 divisors, whose sum is σ = 1334624256. Its totient is φ = 79349760.

The previous prime is 381368809. The next prime is 381368831. The reversal of 381368820 is 28863183.

It is an interprime number because it is at equal distance from previous prime (381368809) and next prime (381368831).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220479 + ... + 222201.

It is an arithmetic number, because the mean of its divisors is an integer number (6951168).

Almost surely, 2^381368820 is an apocalyptic number.

381368820 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 381368820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667312128).

381368820 is an abundant number, since it is smaller than the sum of its proper divisors (953255436).

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

381368820 is a wasteful number, since it uses less digits than its factorization.

381368820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 381368820 is about 19528.6666211495. Note that the first 4 decimals coincide. The cubic root of 381368820 is about 725.1843019358.

The spelling of 381368820 in words is "three hundred eighty-one million, three hundred sixty-eight thousand, eight hundred twenty".