3340007120 has 20 divisors (see below), whose sum is σ = 7765516740. Its totient is φ = 1336002816.

The previous prime is 3340007039. The next prime is 3340007137. The reversal of 3340007120 is 217000433.

It can be written as a sum of positive squares in 2 ways, for example, as 546250384 + 2793756736 = 23372^2 + 52856^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3340007120² = 22311295123301388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3340007092 and 3340007101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20874965 + ... + 20875124.

It is an arithmetic number, because the mean of its divisors is an integer number (388275837).

Almost surely, 2^3340007120 is an apocalyptic number.

It is an amenable number.

3340007120 is an abundant number, since it is smaller than the sum of its proper divisors (4425509620).

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

3340007120 is a wasteful number, since it uses less digits than its factorization.

3340007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41750102 (or 41750096 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 3340007120 is about 57792.7947066068. The cubic root of 3340007120 is about 1494.7978489023.

Adding to 3340007120 its reverse (217000433), we get a palindrome (3557007553).

The spelling of 3340007120 in words is "three billion, three hundred forty million, seven thousand, one hundred twenty".