381106320 has 240 divisors, whose sum is σ = 1435086720. Its totient is φ = 83263488.

The previous prime is 381106279. The next prime is 381106321. The reversal of 381106320 is 23601183.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (381106321) 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, 269776 + ... + 271184.

It is an arithmetic number, because the mean of its divisors is an integer number (5979528).

Almost surely, 2^381106320 is an apocalyptic number.

381106320 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 381106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717543360).

381106320 is an abundant number, since it is smaller than the sum of its proper divisors (1053980400).

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

381106320 is a wasteful number, since it uses less digits than its factorization.

381106320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 381106320 is about 19521.9445752722. The cubic root of 381106320 is about 725.0178798603.

381106320 divided by its sum of digits (24) gives a triangular number (15879430 = T₅₆₃₅).

The spelling of 381106320 in words is "three hundred eighty-one million, one hundred six thousand, three hundred twenty".