3382841940 has 96 divisors (see below), whose sum is σ = 9812638080. Its totient is φ = 870144000.

The previous prime is 3382841933. The next prime is 3382841941. The reversal of 3382841940 is 491482833.

It is a super-2 number, since 2×3382841940² = 22887239182045927200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3382841892 and 3382841901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382841941) 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, 211215 + ... + 226665.

It is an arithmetic number, because the mean of its divisors is an integer number (102214980).

Almost surely, 2^3382841940 is an apocalyptic number.

3382841940 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 3382841940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906319040).

3382841940 is an abundant number, since it is smaller than the sum of its proper divisors (6429796140).

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

3382841940 is a wasteful number, since it uses less digits than its factorization.

3382841940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15593 (or 15591 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3382841940 is about 58162.2037065309. The cubic root of 3382841940 is about 1501.1608702440.

The spelling of 3382841940 in words is "three billion, three hundred eighty-two million, eight hundred forty-one thousand, nine hundred forty".