3149166900 has 144 divisors (see below), whose sum is σ = 10372336128. Its totient is φ = 730224000.

The previous prime is 3149166893. The next prime is 3149166901. The reversal of 3149166900 is 96619413.

It is a super-2 number, since 2×3149166900² = 19834504328111220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3149166901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55155 + ... + 96645.

It is an arithmetic number, because the mean of its divisors is an integer number (72030112).

Almost surely, 2^3149166900 is an apocalyptic number.

3149166900 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 3149166900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186168064).

3149166900 is an abundant number, since it is smaller than the sum of its proper divisors (7223169228).

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

3149166900 is a wasteful number, since it uses less digits than its factorization.

3149166900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41542 (or 41535 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 3149166900 is about 56117.4384661310. The cubic root of 3149166900 is about 1465.7679658472.

The spelling of 3149166900 in words is "three billion, one hundred forty-nine million, one hundred sixty-six thousand, nine hundred".