381075840 has 160 divisors (see below), whose sum is σ = 1361075760. Its totient is φ = 101606400.

The previous prime is 381075817. The next prime is 381075857. The reversal of 381075840 is 48570183.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 381075795 and 381075804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48165 + ... + 55515.

Almost surely, 2^381075840 is an apocalyptic number.

381075840 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 381075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680537880).

381075840 is an abundant number, since it is smaller than the sum of its proper divisors (979999920).

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

381075840 is an equidigital number, since it uses as much as digits as its factorization.

381075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 381075840 is about 19521.1638997269. The cubic root of 381075840 is about 724.9985509285.

The spelling of 381075840 in words is "three hundred eighty-one million, seventy-five thousand, eight hundred forty".