3243998160 has 400 divisors, whose sum is σ = 12289536336. Its totient is φ = 788299776.

The previous prime is 3243998143. The next prime is 3243998179. The reversal of 3243998160 is 618993423.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 134374464 + 3109623696 = 11592^2 + 55764^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8171082 + ... + 8171478.

Almost surely, 2^3243998160 is an apocalyptic number.

3243998160 is a gapful number since it is divisible by the number (30) 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 3243998160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768168).

3243998160 is an abundant number, since it is smaller than the sum of its proper divisors (9045538176).

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

3243998160 is a wasteful number, since it uses less digits than its factorization.

3243998160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3243998160 is about 56956.1073108056. The cubic root of 3243998160 is about 1480.3356555471.

The spelling of 3243998160 in words is "three billion, two hundred forty-three million, nine hundred ninety-eight thousand, one hundred sixty".