381084240 has 320 divisors, whose sum is σ = 1357627392. Its totient is φ = 87859200.

The previous prime is 381084233. The next prime is 381084259. The reversal of 381084240 is 42480183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 381084198 and 381084207.

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, 2908975 + ... + 2909105.

Almost surely, 2^381084240 is an apocalyptic number.

381084240 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 381084240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678813696).

381084240 is an abundant number, since it is smaller than the sum of its proper divisors (976543152).

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

381084240 is a wasteful number, since it uses less digits than its factorization.

381084240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 381084240 is about 19521.3790496471. The cubic root of 381084240 is about 725.0038779024.

The spelling of 381084240 in words is "three hundred eighty-one million, eighty-four thousand, two hundred forty".