3340038240 has 480 divisors, whose sum is σ = 14700559104. Its totient is φ = 693826560.

The previous prime is 3340038223. The next prime is 3340038241. The reversal of 3340038240 is 428300433.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3340038240² = 22311710889324595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340038241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 996247 + ... + 999593.

Almost surely, 2^3340038240 is an apocalyptic number.

3340038240 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 3340038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350279552).

3340038240 is an abundant number, since it is smaller than the sum of its proper divisors (11360520864).

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

3340038240 is a wasteful number, since it uses less digits than its factorization.

3340038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3340038240 is about 57793.0639436948. The cubic root of 3340038240 is about 1494.8024914038.

Adding to 3340038240 its reverse (428300433), we get a palindrome (3768338673).

It can be divided in two parts, 334003 and 8240, that added together give a palindrome (342243).

The spelling of 3340038240 in words is "three billion, three hundred forty million, thirty-eight thousand, two hundred forty".