3420050576544 has 288 divisors, whose sum is σ = 11571735966336. Its totient is φ = 973351157760.

The previous prime is 3420050576507. The next prime is 3420050576549. The reversal of 3420050576544 is 4456750500243.

3420050576544 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 0 + 50 + 57 + 6 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3420050576544² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3420050576544.

It is not an unprimeable number, because it can be changed into a prime (3420050576549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13866784 + ... + 14111264.

It is an arithmetic number, because the mean of its divisors is an integer number (40179638772).

Almost surely, 2^{3420050576544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420050576544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785867983168).

3420050576544 is an abundant number, since it is smaller than the sum of its proper divisors (8151685389792).

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

3420050576544 is a wasteful number, since it uses less digits than its factorization.

3420050576544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244770 (or 244750 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 3420050576544 in words is "three trillion, four hundred twenty billion, fifty million, five hundred seventy-six thousand, five hundred forty-four".