1382141684 has 96 divisors (see below), whose sum is σ = 3224116224. Its totient is φ = 501880320.

The previous prime is 1382141659. The next prime is 1382141689. The reversal of 1382141684 is 4861412831.

It is a super-3 number, since 3×1382141684³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382141689) 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, 559019 + ... + 561485.

It is an arithmetic number, because the mean of its divisors is an integer number (33584544).

Almost surely, 2^1382141684 is an apocalyptic number.

1382141684 is a gapful number since it is divisible by the number (14) 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 1382141684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612058112).

1382141684 is an abundant number, since it is smaller than the sum of its proper divisors (1841974540).

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

1382141684 is a wasteful number, since it uses less digits than its factorization.

1382141684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2611 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 1382141684 is about 37177.1661641928. The cubic root of 1382141684 is about 1113.9119293639.

The spelling of 1382141684 in words is "one billion, three hundred eighty-two million, one hundred forty-one thousand, six hundred eighty-four".