3736128330 has 96 divisors (see below), whose sum is σ = 10716338880. Its totient is φ = 895530240.

The previous prime is 3736128329. The next prime is 3736128337. The reversal of 3736128330 is 338216373.

It is a happy number.

3736128330 is a `hidden beast` number, since 3 + 7 + 3 + 612 + 8 + 3 + 30 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3736128337) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 66909 + ... + 109311.

It is an arithmetic number, because the mean of its divisors is an integer number (111628530).

Almost surely, 2^3736128330 is an apocalyptic number.

3736128330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3736128330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358169440).

3736128330 is an abundant number, since it is smaller than the sum of its proper divisors (6980210550).

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

3736128330 is a wasteful number, since it uses less digits than its factorization.

3736128330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42516 (or 42513 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3736128330 is about 61123.8769221979. The cubic root of 3736128330 is about 1551.6982191804.

The spelling of 3736128330 in words is "three billion, seven hundred thirty-six million, one hundred twenty-eight thousand, three hundred thirty".