3023993952 has 288 divisors, whose sum is σ = 10487715840. Its totient is φ = 829543680.

The previous prime is 3023993933. The next prime is 3023993957. The reversal of 3023993952 is 2593993203.

3023993952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3023993898 and 3023993907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023993957) 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, 23810913 + ... + 23811039.

It is an arithmetic number, because the mean of its divisors is an integer number (36415680).

Almost surely, 2^3023993952 is an apocalyptic number.

3023993952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243857920).

3023993952 is an abundant number, since it is smaller than the sum of its proper divisors (7463721888).

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

3023993952 is a wasteful number, since it uses less digits than its factorization.

3023993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The square root of 3023993952 is about 54990.8533485342. The cubic root of 3023993952 is about 1446.0843944476.

The spelling of 3023993952 in words is "three billion, twenty-three million, nine hundred ninety-three thousand, nine hundred fifty-two".