3122496000 has 640 divisors, whose sum is σ = 12511699200. Its totient is φ = 763084800.

The previous prime is 3122495989. The next prime is 3122496011. The reversal of 3122496000 is 6942213.

3122496000 is a `hidden beast` number, since 3 + 12 + 2 + 49 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3122495989) and next prime (3122496011).

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) 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 (27).

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 63 ways as a sum of consecutive naturals, for example, 22463931 + ... + 22464069.

It is an arithmetic number, because the mean of its divisors is an integer number (19549530).

Almost surely, 2^3122496000 is an apocalyptic number.

3122496000 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 3122496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255849600).

3122496000 is an abundant number, since it is smaller than the sum of its proper divisors (9389203200).

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

3122496000 is a wasteful number, since it uses less digits than its factorization.

3122496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3122496000 is about 55879.2984923755. The cubic root of 3122496000 is about 1461.6182719397.

The spelling of 3122496000 in words is "three billion, one hundred twenty-two million, four hundred ninety-six thousand".