3290422132800 has 672 divisors, whose sum is σ = 13232439676800. Its totient is φ = 788705280000.

The previous prime is 3290422132799. The next prime is 3290422132841. The reversal of 3290422132800 is 82312240923.

3290422132800 is a `hidden beast` number, since 3 + 29 + 0 + 422 + 132 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42253900 + ... + 42331700.

Almost surely, 2^{3290422132800} is an apocalyptic number.

3290422132800 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 3290422132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616219838400).

3290422132800 is an abundant number, since it is smaller than the sum of its proper divisors (9942017544000).

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

3290422132800 is a wasteful number, since it uses less digits than its factorization.

3290422132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77932 (or 77911 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3290422132800 in words is "three trillion, two hundred ninety billion, four hundred twenty-two million, one hundred thirty-two thousand, eight hundred".