3748882500 has 630 divisors, whose sum is σ = 14305181814. Its totient is φ = 855360000.

The previous prime is 3748882471. The next prime is 3748882523. The reversal of 3748882500 is 52888473.

It can be written as a sum of positive squares in 5 ways, for example, as 954068544 + 2794813956 = 30888^2 + 52866^2 .

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

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 209 ways as a sum of consecutive naturals, for example, 220522492 + ... + 220522508.

Almost surely, 2^3748882500 is an apocalyptic number.

3748882500 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 3748882500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7152590907).

3748882500 is an abundant number, since it is smaller than the sum of its proper divisors (10556299314).

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

3748882500 is a wasteful number, since it uses less digits than its factorization.

3748882500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3748882500 is about 61228.1185404223. The cubic root of 3748882500 is about 1553.4619117636.

The spelling of 3748882500 in words is "three billion, seven hundred forty-eight million, eight hundred eighty-two thousand, five hundred".