3484495872 has 312 divisors, whose sum is σ = 11842613328. Its totient is φ = 973209600.

The previous prime is 3484495853. The next prime is 3484495873. The reversal of 3484495872 is 2785944843.

3484495872 is a `hidden beast` number, since 3 + 4 + 84 + 495 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×3484495872² = 24283422963970080768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3484495873) 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, 5271222 + ... + 5271882.

It is an arithmetic number, because the mean of its divisors is an integer number (37957094).

Almost surely, 2^3484495872 is an apocalyptic number.

3484495872 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 3484495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921306664).

3484495872 is an abundant number, since it is smaller than the sum of its proper divisors (8358117456).

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

3484495872 is a wasteful number, since it uses less digits than its factorization.

3484495872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 690 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3484495872 is about 59029.6185994794. The cubic root of 3484495872 is about 1516.0492786640.

The spelling of 3484495872 in words is "three billion, four hundred eighty-four million, four hundred ninety-five thousand, eight hundred seventy-two".