3407307460 has 48 divisors (see below), whose sum is σ = 7468260912. Its totient is φ = 1304576000.

The previous prime is 3407307427. The next prime is 3407307461. The reversal of 3407307460 is 647037043.

It can be written as a sum of positive squares in 8 ways, for example, as 76632516 + 3330674944 = 8754^2 + 57712^2 .

It is not an unprimeable number, because it can be changed into a prime (3407307461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4260 + ... + 82660.

It is an arithmetic number, because the mean of its divisors is an integer number (155588769).

Almost surely, 2^3407307460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407307460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734130456).

3407307460 is an abundant number, since it is smaller than the sum of its proper divisors (4060953452).

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

3407307460 is a wasteful number, since it uses less digits than its factorization.

3407307460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78504 (or 78502 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The square root of 3407307460 is about 58372.1462685757. The cubic root of 3407307460 is about 1504.7710986921.

The spelling of 3407307460 in words is "three billion, four hundred seven million, three hundred seven thousand, four hundred sixty".