3427859545600 has 480 divisors, whose sum is σ = 10471141429056. Its totient is φ = 1085236838400.

The previous prime is 3427859545597. The next prime is 3427859545619. The reversal of 3427859545600 is 65459587243.

It is a super-2 number, since 2×3427859545600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 80708370 + ... + 80750830.

Almost surely, 2^{3427859545600} 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 3427859545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235570714528).

3427859545600 is an abundant number, since it is smaller than the sum of its proper divisors (7043281883456).

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

3427859545600 is a wasteful number, since it uses less digits than its factorization.

3427859545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42566 (or 42545 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 3427859545600 in words is "three trillion, four hundred twenty-seven billion, eight hundred fifty-nine million, five hundred forty-five thousand, six hundred".