3506693472 has 120 divisors (see below), whose sum is σ = 10334592576. Its totient is φ = 1166462208.

The previous prime is 3506693471. The next prime is 3506693501. The reversal of 3506693472 is 2743966053.

3506693472 is a `hidden beast` number, since 35 + 0 + 66 + 93 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506693471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1587793 + ... + 1589999.

Almost surely, 2^3506693472 is an apocalyptic number.

3506693472 is a gapful number since it is divisible by the number (32) 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 3506693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167296288).

3506693472 is an abundant number, since it is smaller than the sum of its proper divisors (6827899104).

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

3506693472 is a wasteful number, since it uses less digits than its factorization.

3506693472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3506693472 is about 59217.3409737384. The cubic root of 3506693472 is about 1519.2617421355.

The spelling of 3506693472 in words is "three billion, five hundred six million, six hundred ninety-three thousand, four hundred seventy-two".