3466041160500 has 288 divisors, whose sum is σ = 10971595514880. Its totient is φ = 921123840000.

The previous prime is 3466041160429. The next prime is 3466041160507. The reversal of 3466041160500 is 50611406643.

It is a happy number.

3466041160500 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 0 + 41 + 1 + 605 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466041160507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2627778841 + ... + 2627780159.

It is an arithmetic number, because the mean of its divisors is an integer number (38095817760).

Almost surely, 2^{3466041160500} is an apocalyptic number.

3466041160500 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 3466041160500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485797757440).

3466041160500 is an abundant number, since it is smaller than the sum of its proper divisors (7505554354380).

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

3466041160500 is a wasteful number, since it uses less digits than its factorization.

3466041160500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3466041160500 in words is "three trillion, four hundred sixty-six billion, forty-one million, one hundred sixty thousand, five hundred".