3002765920 has 192 divisors, whose sum is σ = 9229925376. Its totient is φ = 895150080.

The previous prime is 3002765893. The next prime is 3002765929. The reversal of 3002765920 is 295672003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002765929) 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, 278062 + ... + 288658.

It is an arithmetic number, because the mean of its divisors is an integer number (48072528).

Almost surely, 2^3002765920 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 3002765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614962688).

3002765920 is an abundant number, since it is smaller than the sum of its proper divisors (6227159456).

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

3002765920 is a wasteful number, since it uses less digits than its factorization.

3002765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10653 (or 10645 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 3002765920 is about 54797.4992130115. The cubic root of 3002765920 is about 1442.6926727070.

The spelling of 3002765920 in words is "three billion, two million, seven hundred sixty-five thousand, nine hundred twenty".