3123505440 has 288 divisors, whose sum is σ = 12004941312. Its totient is φ = 732672000.

The previous prime is 3123505403. The next prime is 3123505487. The reversal of 3123505440 is 445053213.

3123505440 = 385² + 386² + ... + 2112².

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487860 + ... + 494220.

It is an arithmetic number, because the mean of its divisors is an integer number (41683824).

Almost surely, 2^3123505440 is an apocalyptic number.

3123505440 is a gapful number since it is divisible by the number (30) 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 3123505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002470656).

3123505440 is an abundant number, since it is smaller than the sum of its proper divisors (8881435872).

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

3123505440 is a wasteful number, since it uses less digits than its factorization.

3123505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3123505440 is about 55888.3300877741. The cubic root of 3123505440 is about 1461.7757588761.

Adding to 3123505440 its reverse (445053213), we get a palindrome (3568558653).

The spelling of 3123505440 in words is "three billion, one hundred twenty-three million, five hundred five thousand, four hundred forty".