3123668400 has 240 divisors, whose sum is σ = 11153750400. Its totient is φ = 742625280.

The previous prime is 3123668347. The next prime is 3123668413. The reversal of 3123668400 is 48663213.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383571 + ... + 391629.

It is an arithmetic number, because the mean of its divisors is an integer number (46473960).

Almost surely, 2^3123668400 is an apocalyptic number.

3123668400 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 3123668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576875200).

3123668400 is an abundant number, since it is smaller than the sum of its proper divisors (8030082000).

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

3123668400 is a wasteful number, since it uses less digits than its factorization.

3123668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3123668400 is about 55889.7879759800. The cubic root of 3123668400 is about 1461.8011797629.

The spelling of 3123668400 in words is "three billion, one hundred twenty-three million, six hundred sixty-eight thousand, four hundred".