3121822080 has 384 divisors, whose sum is σ = 11983572000. Its totient is φ = 767729664.

The previous prime is 3121822061. The next prime is 3121822111. The reversal of 3121822080 is 802281213.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×3121822080³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2919786 + ... + 2920854.

Almost surely, 2^3121822080 is an apocalyptic number.

3121822080 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 3121822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991786000).

3121822080 is an abundant number, since it is smaller than the sum of its proper divisors (8861749920).

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

3121822080 is a wasteful number, since it uses less digits than its factorization.

3121822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3121822080 is about 55873.2680268480. The cubic root of 3121822080 is about 1461.5131119802.

The spelling of 3121822080 in words is "three billion, one hundred twenty-one million, eight hundred twenty-two thousand, eighty".