381113820 has 144 divisors (see below), whose sum is σ = 1231251840. Its totient is φ = 95090688.

The previous prime is 381113809. The next prime is 381113827. The reversal of 381113820 is 28311183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381113827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822909 + ... + 823371.

It is an arithmetic number, because the mean of its divisors is an integer number (8550360).

Almost surely, 2^381113820 is an apocalyptic number.

381113820 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 381113820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615625920).

381113820 is an abundant number, since it is smaller than the sum of its proper divisors (850138020).

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

381113820 is a wasteful number, since it uses less digits than its factorization.

381113820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 381113820 is about 19522.1366658468. The cubic root of 381113820 is about 725.0226358371.

The spelling of 381113820 in words is "three hundred eighty-one million, one hundred thirteen thousand, eight hundred twenty".