3122642640 has 80 divisors (see below), whose sum is σ = 10424832768. Its totient is φ = 768649728.

The previous prime is 3122642629. The next prime is 3122642641. The reversal of 3122642640 is 462462213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3122642598 and 3122642607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122642641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497304 + ... + 503543.

Almost surely, 2^3122642640 is an apocalyptic number.

3122642640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3122642640 is an abundant number, since it is smaller than the sum of its proper divisors (7302190128).

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

3122642640 is a wasteful number, since it uses less digits than its factorization.

3122642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000876 (or 1000870 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3122642640 is about 55880.6105907944. The cubic root of 3122642640 is about 1461.6411519635.

The spelling of 3122642640 in words is "three billion, one hundred twenty-two million, six hundred forty-two thousand, six hundred forty".