3736510128 has 160 divisors (see below), whose sum is σ = 11595924480. Its totient is φ = 1145145600.

The previous prime is 3736510111. The next prime is 3736510153. The reversal of 3736510128 is 8210156373.

It is a Cunningham number, because it is equal to 61127²-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 3736510092 and 3736510101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588153 + ... + 1590503.

It is an arithmetic number, because the mean of its divisors is an integer number (72474528).

Almost surely, 2^3736510128 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 3736510128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797962240).

3736510128 is an abundant number, since it is smaller than the sum of its proper divisors (7859414352).

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

3736510128 is a wasteful number, since it uses less digits than its factorization.

3736510128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3736510128 is about 61126.9999918203. Note that the first 5 decimals coincide. The cubic root of 3736510128 is about 1551.7510738153.

The spelling of 3736510128 in words is "three billion, seven hundred thirty-six million, five hundred ten thousand, one hundred twenty-eight".