3145123800 has 648 divisors, whose sum is σ = 13367743740. Its totient is φ = 660441600.

The previous prime is 3145123763. The next prime is 3145123819. The reversal of 3145123800 is 83215413.

It is a happy number.

It is a super-3 number, since 3×3145123800³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 14905695 + ... + 14905905.

Almost surely, 2^3145123800 is an apocalyptic number.

3145123800 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 3145123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683871870).

3145123800 is an abundant number, since it is smaller than the sum of its proper divisors (10222619940).

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

3145123800 is a wasteful number, since it uses less digits than its factorization.

3145123800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3145123800 is about 56081.4033347954. The cubic root of 3145123800 is about 1465.1404152785.

The spelling of 3145123800 in words is "three billion, one hundred forty-five million, one hundred twenty-three thousand, eight hundred".