3121825280 has 240 divisors, whose sum is σ = 8934178176. Its totient is φ = 1042513920.

The previous prime is 3121825279. The next prime is 3121825303. The reversal of 3121825280 is 825281213.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5142737 + ... + 5143343.

Almost surely, 2^3121825280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467089088).

3121825280 is an abundant number, since it is smaller than the sum of its proper divisors (5812352896).

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

3121825280 is an equidigital number, since it uses as much as digits as its factorization.

3121825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 3121825280 is about 55873.2966630751. The cubic root of 3121825280 is about 1461.5136113510.

The spelling of 3121825280 in words is "three billion, one hundred twenty-one million, eight hundred twenty-five thousand, two hundred eighty".