3238748100 has 243 divisors, whose sum is σ = 11852829261. Its totient is φ = 737553600.

The previous prime is 3238748083. The next prime is 3238748111. The reversal of 3238748100 is 18478323.

The square root of 3238748100 is 56910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1165949316 + 2072798784 = 34146^2 + 45528^2 .

It is a super-2 number, since 2×3238748100² = 20978978510507220000, 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 polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11950965 + ... + 11951235.

Almost surely, 2^3238748100 is an apocalyptic number.

3238748100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3238748100 is the 56910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3238748100

3238748100 is an abundant number, since it is smaller than the sum of its proper divisors (8614081161).

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

3238748100 is a wasteful number, since it uses less digits than its factorization.

3238748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 3238748100 is about 1479.5366366579.

Multiplying 3238748100 by its sum of digits (36), we get a square (116594931600 = 341460²).

3238748100 divided by its sum of digits (36) gives a square (89965225 = 9485²).

The spelling of 3238748100 in words is "three billion, two hundred thirty-eight million, seven hundred forty-eight thousand, one hundred".