3472500960 has 288 divisors, whose sum is σ = 12363466752. Its totient is φ = 886533120.

The previous prime is 3472500943. The next prime is 3472501001. The reversal of 3472500960 is 690052743.

3472500960 is a `hidden beast` number, since 347 + 250 + 0 + 9 + 60 = 666.

3472500960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4776117 + ... + 4776843.

It is an arithmetic number, because the mean of its divisors is an integer number (42928704).

Almost surely, 2^3472500960 is an apocalyptic number.

3472500960 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 3472500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181733376).

3472500960 is an abundant number, since it is smaller than the sum of its proper divisors (8890965792).

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

3472500960 is a wasteful number, since it uses less digits than its factorization.

3472500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3472500960 is about 58927.9302198881. The cubic root of 3472500960 is about 1514.3076796217.

The spelling of 3472500960 in words is "three billion, four hundred seventy-two million, five hundred thousand, nine hundred sixty".