3138225024 has 384 divisors, whose sum is σ = 10109383200. Its totient is φ = 857866240.

The previous prime is 3138225001. The next prime is 3138225031. The reversal of 3138225024 is 4205228313.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3138224982 and 3138225000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22906684 + ... + 22906820.

Almost surely, 2^3138225024 is an apocalyptic number.

3138225024 is a gapful number since it is divisible by the number (34) 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 3138225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054691600).

3138225024 is an abundant number, since it is smaller than the sum of its proper divisors (6971158176).

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

3138225024 is a wasteful number, since it uses less digits than its factorization.

3138225024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3138225024 is about 56019.8627631307. The cubic root of 3138225024 is about 1464.0683774686.

The spelling of 3138225024 in words is "three billion, one hundred thirty-eight million, two hundred twenty-five thousand, twenty-four".