3181224960 has 528 divisors, whose sum is σ = 12139725312. Its totient is φ = 766771200.

The previous prime is 3181224911. The next prime is 3181224971. The reversal of 3181224960 is 694221813.

It is a super-2 number, since 2×3181224960² = 20240384492254003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24284095 + ... + 24284225.

It is an arithmetic number, because the mean of its divisors is an integer number (22991904).

Almost surely, 2^3181224960 is an apocalyptic number.

3181224960 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 3181224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069862656).

3181224960 is an abundant number, since it is smaller than the sum of its proper divisors (8958500352).

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

3181224960 is a wasteful number, since it uses less digits than its factorization.

3181224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3181224960 is about 56402.3488872582. The cubic root of 3181224960 is about 1470.7249513203.

The spelling of 3181224960 in words is "three billion, one hundred eighty-one million, two hundred twenty-four thousand, nine hundred sixty".