3124764006 has 96 divisors (see below), whose sum is σ = 7850596320. Its totient is φ = 821850624.

The previous prime is 3124764001. The next prime is 3124764017. The reversal of 3124764006 is 6004674213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124764001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745760 + ... + 1747548.

It is an arithmetic number, because the mean of its divisors is an integer number (81777045).

Almost surely, 2^3124764006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3124764006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925298160).

3124764006 is an abundant number, since it is smaller than the sum of its proper divisors (4725832314).

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

3124764006 is a wasteful number, since it uses less digits than its factorization.

3124764006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3124764006 is about 55899.5886031373. The cubic root of 3124764006 is about 1461.9720654791.

The spelling of 3124764006 in words is "three billion, one hundred twenty-four million, seven hundred sixty-four thousand, six".