3460540545000 has 960 divisors, whose sum is σ = 14802606149760. Its totient is φ = 709171200000.

The previous prime is 3460540544971. The next prime is 3460540545013. The reversal of 3460540545000 is 5450450643.

3460540545000 is a `hidden beast` number, since 3 + 4 + 60 + 5 + 40 + 54 + 500 + 0 = 666.

3460540545000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 252938160 + ... + 252951840.

It is an arithmetic number, because the mean of its divisors is an integer number (15419381406).

Almost surely, 2^{3460540545000} is an apocalyptic number.

3460540545000 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 3460540545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401303074880).

3460540545000 is an abundant number, since it is smaller than the sum of its proper divisors (11342065604760).

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

3460540545000 is a wasteful number, since it uses less digits than its factorization.

3460540545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13804 (or 13782 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 3460540545000 its reverse (5450450643), we get a palindrome (3465990995643).

The spelling of 3460540545000 in words is "three trillion, four hundred sixty billion, five hundred forty million, five hundred forty-five thousand".