3506120172 has 72 divisors (see below), whose sum is σ = 9005505600. Its totient is φ = 1149977088.

The previous prime is 3506120129. The next prime is 3506120203. The reversal of 3506120172 is 2710216053.

It is a happy number.

3506120172 is a `hidden beast` number, since 35 + 0 + 612 + 0 + 17 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 899604 + ... + 903492.

Almost surely, 2^3506120172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3506120172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502752800).

3506120172 is an abundant number, since it is smaller than the sum of its proper divisors (5499385428).

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

3506120172 is a wasteful number, since it uses less digits than its factorization.

3506120172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3506120172 is about 59212.5001329956. The cubic root of 3506120172 is about 1519.1789442678.

The spelling of 3506120172 in words is "three billion, five hundred six million, one hundred twenty thousand, one hundred seventy-two".