3123242430 has 256 divisors, whose sum is σ = 9614868480. Its totient is φ = 630604800.

The previous prime is 3123242429. The next prime is 3123242461. The reversal of 3123242430 is 342423213.

It is a super-3 number, since 3×3123242430³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3123242430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22469301 + ... + 22469439.

It is an arithmetic number, because the mean of its divisors is an integer number (37558080).

Almost surely, 2^3123242430 is an apocalyptic number.

3123242430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123242430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807434240).

3123242430 is an abundant number, since it is smaller than the sum of its proper divisors (6491626050).

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

3123242430 is a wasteful number, since it uses less digits than its factorization.

3123242430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3123242430 is about 55885.9770425462. The cubic root of 3123242430 is about 1461.7347288601.

Adding to 3123242430 its reverse (342423213), we get a palindrome (3465665643).

The spelling of 3123242430 in words is "three billion, one hundred twenty-three million, two hundred forty-two thousand, four hundred thirty".