382121740 has 96 divisors (see below), whose sum is σ = 1077479424. Its totient is φ = 109935360.

The previous prime is 382121723. The next prime is 382121741. The reversal of 382121740 is 47121283.

382121740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 382121699 and 382121708.

It is not an unprimeable number, because it can be changed into a prime (382121741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10477 + ... + 29563.

It is an arithmetic number, because the mean of its divisors is an integer number (11223744).

Almost surely, 2^382121740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382121740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538739712).

382121740 is an abundant number, since it is smaller than the sum of its proper divisors (695357684).

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

382121740 is a wasteful number, since it uses less digits than its factorization.

382121740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19127 (or 19125 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 382121740 is about 19547.9344177332. The cubic root of 382121740 is about 725.6612215746.

The spelling of 382121740 in words is "three hundred eighty-two million, one hundred twenty-one thousand, seven hundred forty".