381983040 has 140 divisors (see below), whose sum is σ = 1358873076. Its totient is φ = 101855232.

The previous prime is 381983029. The next prime is 381983059. The reversal of 381983040 is 40389183.

It can be written as a sum of positive squares in 2 ways, for example, as 237406464 + 144576576 = 15408^2 + 12024^2 .

It is a super-2 number, since 2×381983040² = 291822085695283200, which contains 22 as substring.

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 = 381982986 and 381983004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18552 + ... + 33288.

Almost surely, 2^381983040 is an apocalyptic number.

381983040 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 381983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679436538).

381983040 is an abundant number, since it is smaller than the sum of its proper divisors (976890036).

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

381983040 is a wasteful number, since it uses less digits than its factorization.

381983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14766 (or 14747 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 381983040 is about 19544.3864063316. The cubic root of 381983040 is about 725.5734123932.

The spelling of 381983040 in words is "three hundred eighty-one million, nine hundred eighty-three thousand, forty".