3473504352 has 144 divisors (see below), whose sum is σ = 10195567200. Its totient is φ = 1120905216.

The previous prime is 3473504351. The next prime is 3473504369. The reversal of 3473504352 is 2534053743.

3473504352 is a `hidden beast` number, since 34 + 73 + 504 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (3473504351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2482149 + ... + 2483547.

It is an arithmetic number, because the mean of its divisors is an integer number (70802550).

Almost surely, 2^3473504352 is an apocalyptic number.

3473504352 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 3473504352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097783600).

3473504352 is an abundant number, since it is smaller than the sum of its proper divisors (6722062848).

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

3473504352 is a wasteful number, since it uses less digits than its factorization.

3473504352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The square root of 3473504352 is about 58936.4433266888. The cubic root of 3473504352 is about 1514.4535205111.

The spelling of 3473504352 in words is "three billion, four hundred seventy-three million, five hundred four thousand, three hundred fifty-two".