3450042489600 has 1944 divisors, whose sum is σ = 15108447528720. Its totient is φ = 747823104000.

The previous prime is 3450042489577. The next prime is 3450042489613. The reversal of 3450042489600 is 69842400543.

3450042489600 is a `hidden beast` number, since 3 + 4 + 500 + 4 + 2 + 4 + 89 + 60 + 0 = 666.

It is a super-2 number, since 2×3450042489600² (a number of 26 digits) contains 22 as substring.

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

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 215 ways as a sum of consecutive naturals, for example, 4992825255 + ... + 4992825945.

Almost surely, 2^{3450042489600} is an apocalyptic number.

3450042489600 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 3450042489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7554223764360).

3450042489600 is an abundant number, since it is smaller than the sum of its proper divisors (11658405039120).

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

3450042489600 is a wasteful number, since it uses less digits than its factorization.

3450042489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3450042489600 in words is "three trillion, four hundred fifty billion, forty-two million, four hundred eighty-nine thousand, six hundred".