3420212067 has 32 divisors (see below), whose sum is σ = 5102092800. Its totient is φ = 2264404896.

The previous prime is 3420212057. The next prime is 3420212083. The reversal of 3420212067 is 7602120243.

It is not a de Polignac number, because 3420212067 - 2⁸ = 3420211811 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3420212067.

It is not an unprimeable number, because it can be changed into a prime (3420212057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3216978 + ... + 3218040.

It is an arithmetic number, because the mean of its divisors is an integer number (159440400).

Almost surely, 2^3420212067 is an apocalyptic number.

3420212067 is a deficient number, since it is larger than the sum of its proper divisors (1681880733).

3420212067 is a wasteful number, since it uses less digits than its factorization.

3420212067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3420212067 is about 58482.5791753408. The cubic root of 3420212067 is about 1506.6683950749.

The spelling of 3420212067 in words is "three billion, four hundred twenty million, two hundred twelve thousand, sixty-seven".