3487309272 has 96 divisors (see below), whose sum is σ = 9664181280. Its totient is φ = 1135733760.

The previous prime is 3487309271. The next prime is 3487309291. The reversal of 3487309272 is 2729037843.

3487309272 is a `hidden beast` number, since 348 + 7 + 30 + 9 + 272 = 666.

It is a super-2 number, since 2×3487309272² = 24322651917154339968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3487309271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574638 + ... + 580674.

It is an arithmetic number, because the mean of its divisors is an integer number (100668555).

Almost surely, 2^3487309272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487309272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832090640).

3487309272 is an abundant number, since it is smaller than the sum of its proper divisors (6176872008).

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

3487309272 is a wasteful number, since it uses less digits than its factorization.

3487309272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3487309272 is about 59053.4442009947. Note that the first 3 decimals coincide. The cubic root of 3487309272 is about 1516.4571909113.

The spelling of 3487309272 in words is "three billion, four hundred eighty-seven million, three hundred nine thousand, two hundred seventy-two".