3495473372160 has 528 divisors, whose sum is σ = 15100346806272. Its totient is φ = 726331392000.

The previous prime is 3495473372159. The next prime is 3495473372177. The reversal of 3495473372160 is 612733745943.

3495473372160 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 473 + 3 + 7 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 3495473372097 and 3495473372106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3055585 + ... + 4040735.

Almost surely, 2^{3495473372160} is an apocalyptic number.

3495473372160 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 3495473372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550173403136).

3495473372160 is an abundant number, since it is smaller than the sum of its proper divisors (11604873434112).

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

3495473372160 is a wasteful number, since it uses less digits than its factorization.

3495473372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985200 (or 985179 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 3495473372160 in words is "three trillion, four hundred ninety-five billion, four hundred seventy-three million, three hundred seventy-two thousand, one hundred sixty".