3427287552 has 360 divisors, whose sum is σ = 11175628464. Its totient is φ = 1048080384.

The previous prime is 3427287551. The next prime is 3427287571. The reversal of 3427287552 is 2557827243.

It is a junction number, because it is equal to n+sod(n) for n = 3427287498 and 3427287507.

It is not an unprimeable number, because it can be changed into a prime (3427287551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21026223 + ... + 21026385.

Almost surely, 2^3427287552 is an apocalyptic number.

3427287552 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 3427287552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587814232).

3427287552 is an abundant number, since it is smaller than the sum of its proper divisors (7748340912).

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

3427287552 is an equidigital number, since it uses as much as digits as its factorization.

3427287552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 181 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 3427287552 is about 58543.0401670429. The cubic root of 3427287552 is about 1507.7066413101.

The spelling of 3427287552 in words is "three billion, four hundred twenty-seven million, two hundred eighty-seven thousand, five hundred fifty-two".