3489288192 has 260 divisors, whose sum is σ = 11239198740. Its totient is φ = 1072300032.

The previous prime is 3489288169. The next prime is 3489288217. The reversal of 3489288192 is 2918829843.

3489288192 is a `hidden beast` number, since 348 + 9 + 288 + 19 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1816805376 + 1672482816 = 42624^2 + 40896^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4312684 + ... + 4313492.

Almost surely, 2^3489288192 is an apocalyptic number.

3489288192 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 3489288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619599370).

3489288192 is an abundant number, since it is smaller than the sum of its proper divisors (7749910548).

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

3489288192 is an equidigital number, since it uses as much as digits as its factorization.

3489288192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 827 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 3489288192 is about 59070.1971555877. The cubic root of 3489288192 is about 1516.7439812671.

The spelling of 3489288192 in words is "three billion, four hundred eighty-nine million, two hundred eighty-eight thousand, one hundred ninety-two".