3342041040 has 160 divisors (see below), whose sum is σ = 11179034496. Its totient is φ = 821053440.

The previous prime is 3342041039. The next prime is 3342041041. The reversal of 3342041040 is 401402433.

It is an interprime number because it is at equal distance from previous prime (3342041039) and next prime (3342041041).

It is a super-3 number, since 3×3342041040³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3342040998 and 3342041016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342041041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829250 + ... + 2830430.

Almost surely, 2^3342041040 is an apocalyptic number.

3342041040 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 3342041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589517248).

3342041040 is an abundant number, since it is smaller than the sum of its proper divisors (7836993456).

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

3342041040 is a wasteful number, since it uses less digits than its factorization.

3342041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3342041040 is about 57810.3886857717. The cubic root of 3342041040 is about 1495.1012097638.

Adding to 3342041040 its reverse (401402433), we get a palindrome (3743443473).

The spelling of 3342041040 in words is "three billion, three hundred forty-two million, forty-one thousand, forty".