3473933760 has 336 divisors, whose sum is σ = 13287512160. Its totient is φ = 825876480.

The previous prime is 3473933759. The next prime is 3473933779. The reversal of 3473933760 is 673393743.

3473933760 is a `hidden beast` number, since 3 + 473 + 93 + 37 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1678006 + ... + 1680074.

Almost surely, 2^3473933760 is an apocalyptic number.

3473933760 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 3473933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643756080).

3473933760 is an abundant number, since it is smaller than the sum of its proper divisors (9813578400).

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

3473933760 is a wasteful number, since it uses less digits than its factorization.

3473933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 45.

The square root of 3473933760 is about 58940.0861892821. The cubic root of 3473933760 is about 1514.5159254673.

It can be divided in two parts, 347393 and 3760, that added together give a palindrome (351153).

The spelling of 3473933760 in words is "three billion, four hundred seventy-three million, nine hundred thirty-three thousand, seven hundred sixty".