3122664000 has 224 divisors, whose sum is σ = 10761244416. Its totient is φ = 796364800.

The previous prime is 3122663981. The next prime is 3122664019. The reversal of 3122664000 is 4662213.

It is an interprime number because it is at equal distance from previous prime (3122663981) and next prime (3122664019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549172 + ... + 554828.

Almost surely, 2^3122664000 is an apocalyptic number.

3122664000 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 3122664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380622208).

3122664000 is an abundant number, since it is smaller than the sum of its proper divisors (7638580416).

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

3122664000 is a wasteful number, since it uses less digits than its factorization.

3122664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3122664000 is about 55880.8017122160. The cubic root of 3122664000 is about 1461.6444846732.

The spelling of 3122664000 in words is "three billion, one hundred twenty-two million, six hundred sixty-four thousand".