3420013007 has 16 divisors (see below), whose sum is σ = 3609813600. Its totient is φ = 3235424640.

The previous prime is 3420013001. The next prime is 3420013013. The reversal of 3420013007 is 7003100243.

It is an interprime number because it is at equal distance from previous prime (3420013001) and next prime (3420013013).

It is a cyclic number.

It is not a de Polignac number, because 3420013007 - 2⁸ = 3420012751 is a prime.

It is a super-4 number, since 4×3420013007⁴ (a number of 39 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3420013007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420013001) 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, 472268 + ... + 479454.

It is an arithmetic number, because the mean of its divisors is an integer number (225613350).

Almost surely, 2^3420013007 is an apocalyptic number.

3420013007 is a deficient number, since it is larger than the sum of its proper divisors (189800593).

3420013007 is a wasteful number, since it uses less digits than its factorization.

3420013007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7546.

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

The square root of 3420013007 is about 58480.8772762516. The cubic root of 3420013007 is about 1506.6391646038.

The spelling of 3420013007 in words is "three billion, four hundred twenty million, thirteen thousand, seven".