3181825152 has 320 divisors, whose sum is σ = 10787895360. Its totient is φ = 921507840.

The previous prime is 3181825133. The next prime is 3181825159. The reversal of 3181825152 is 2515281813.

It is a super-2 number, since 2×3181825152² = 20248022595799646208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3181825159) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2622498 + ... + 2623710.

It is an arithmetic number, because the mean of its divisors is an integer number (33712173).

Almost surely, 2^3181825152 is an apocalyptic number.

3181825152 is a gapful number since it is divisible by the number (32) 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 3181825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393947680).

3181825152 is an abundant number, since it is smaller than the sum of its proper divisors (7606070208).

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

3181825152 is a wasteful number, since it uses less digits than its factorization.

3181825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1252 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 3181825152 is about 56407.6692658011. The cubic root of 3181825152 is about 1470.8174378995.

The spelling of 3181825152 in words is "three billion, one hundred eighty-one million, eight hundred twenty-five thousand, one hundred fifty-two".