3736021128 has 256 divisors, whose sum is σ = 11399270400. Its totient is φ = 998231040.

The previous prime is 3736021127. The next prime is 3736021199. The reversal of 3736021128 is 8211206373.

3736021128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 61123²-1.

It is not an unprimeable number, because it can be changed into a prime (3736021127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22371301 + ... + 22371467.

It is an arithmetic number, because the mean of its divisors is an integer number (44528400).

Almost surely, 2^3736021128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3736021128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699635200).

3736021128 is an abundant number, since it is smaller than the sum of its proper divisors (7663249272).

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

3736021128 is a wasteful number, since it uses less digits than its factorization.

3736021128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3736021128 is about 61122.9999918198. Note that the first 5 decimals coincide. The cubic root of 3736021128 is about 1551.6833779036.

The spelling of 3736021128 in words is "three billion, seven hundred thirty-six million, twenty-one thousand, one hundred twenty-eight".