3014138960 has 240 divisors, whose sum is σ = 8616627072. Its totient is φ = 975744000.

The previous prime is 3014138923. The next prime is 3014138987. The reversal of 3014138960 is 698314103.

It is a super-3 number, since 3×3014138960³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3014138960.

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, 9105995 + ... + 9106325.

Almost surely, 2^3014138960 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 3014138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308313536).

3014138960 is an abundant number, since it is smaller than the sum of its proper divisors (5602488112).

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

3014138960 is a wasteful number, since it uses less digits than its factorization.

3014138960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 3014138960 is about 54901.1744865262. The cubic root of 3014138960 is about 1444.5117877522.

The spelling of 3014138960 in words is "three billion, fourteen million, one hundred thirty-eight thousand, nine hundred sixty".