3459875034546 has 128 divisors (see below), whose sum is σ = 9173381184000. Its totient is φ = 945691552512.

The previous prime is 3459875034541. The next prime is 3459875034547. The reversal of 3459875034546 is 6454305789543.

3459875034546 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 8 + 7 + 50 + 34 + 546 = 666.

3459875034546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3459875034546² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3459875034541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252961 + ... + 2642676.

It is an arithmetic number, because the mean of its divisors is an integer number (71667040500).

Almost surely, 2^{3459875034546} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3459875034546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586690592000).

3459875034546 is an abundant number, since it is smaller than the sum of its proper divisors (5713506149454).

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

3459875034546 is a wasteful number, since it uses less digits than its factorization.

3459875034546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895793 (or 2895787 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 3459875034546 in words is "three trillion, four hundred fifty-nine billion, eight hundred seventy-five million, thirty-four thousand, five hundred forty-six".