3241988100 has 216 divisors, whose sum is σ = 11240782280. Its totient is φ = 776355840.

The previous prime is 3241988093. The next prime is 3241988117. The reversal of 3241988100 is 18891423.

It can be written as a sum of positive squares in 12 ways, for example, as 747584964 + 2494403136 = 27342^2 + 49944^2 .

It is a super-2 number, since 2×3241988100² = 21020973681083220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 429156 + ... + 436644.

Almost surely, 2^3241988100 is an apocalyptic number.

3241988100 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 3241988100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620391140).

3241988100 is an abundant number, since it is smaller than the sum of its proper divisors (7998794180).

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

3241988100 is a wasteful number, since it uses less digits than its factorization.

3241988100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7559 (or 7549 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3241988100 is about 56938.4588832539. The cubic root of 3241988100 is about 1480.0298417406.

It can be divided in two parts, 324 and 1988100, that multiplied together give a square (644144400 = 25380²).

The spelling of 3241988100 in words is "three billion, two hundred forty-one million, nine hundred eighty-eight thousand, one hundred".