3421791182250 has 1024 divisors, whose sum is σ = 12182317056000. Its totient is φ = 691927142400.

The previous prime is 3421791182219. The next prime is 3421791182311. The reversal of 3421791182250 is 522811971243.

3421791182250 is a `hidden beast` number, since 3 + 4 + 217 + 9 + 1 + 182 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3421791182196 and 3421791182205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2121382444 + ... + 2121384056.

It is an arithmetic number, because the mean of its divisors is an integer number (11896794000).

Almost surely, 2^{3421791182250} is an apocalyptic number.

3421791182250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421791182250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091158528000).

3421791182250 is an abundant number, since it is smaller than the sum of its proper divisors (8760525873750).

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

3421791182250 is a wasteful number, since it uses less digits than its factorization.

3421791182250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 3421791182250 in words is "three trillion, four hundred twenty-one billion, seven hundred ninety-one million, one hundred eighty-two thousand, two hundred fifty".