3420973008 has 160 divisors (see below), whose sum is σ = 10176491520. Its totient is φ = 1099163520.

The previous prime is 3420973001. The next prime is 3420973027. The reversal of 3420973008 is 8003790243.

3420973008 is a `hidden beast` number, since 342 + 0 + 9 + 7 + 300 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420973001) 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, 6253791 + ... + 6254337.

It is an arithmetic number, because the mean of its divisors is an integer number (63603072).

Almost surely, 2^3420973008 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 3420973008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088245760).

3420973008 is an abundant number, since it is smaller than the sum of its proper divisors (6755518512).

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

3420973008 is a wasteful number, since it uses less digits than its factorization.

3420973008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3420973008 is about 58489.0845201051. The cubic root of 3420973008 is about 1506.7801231118.

The spelling of 3420973008 in words is "three billion, four hundred twenty million, nine hundred seventy-three thousand, eight".