3520006272 has 192 divisors, whose sum is σ = 10813264800. Its totient is φ = 1095856128.

The previous prime is 3520006271. The next prime is 3520006309. The reversal of 3520006272 is 2726000253.

3520006272 is a `hidden beast` number, since 35 + 2 + 0 + 0 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3520006271) 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, 1596723 + ... + 1598925.

Almost surely, 2^3520006272 is an apocalyptic number.

3520006272 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 3520006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406632400).

3520006272 is an abundant number, since it is smaller than the sum of its proper divisors (7293258528).

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

3520006272 is a wasteful number, since it uses less digits than its factorization.

3520006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3520006272 is about 59329.6407540110. The cubic root of 3520006272 is about 1521.1818877933.

The spelling of 3520006272 in words is "three billion, five hundred twenty million, six thousand, two hundred seventy-two".