3760142336 has 48 divisors (see below), whose sum is σ = 7536110400. Its totient is φ = 1875656704.

The previous prime is 3760142311. The next prime is 3760142369. The reversal of 3760142336 is 6332410673.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3760142296 and 3760142305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 979076 + ... + 982908.

It is an arithmetic number, because the mean of its divisors is an integer number (157002300).

Almost surely, 2^3760142336 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 3760142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768055200).

3760142336 is an abundant number, since it is smaller than the sum of its proper divisors (3775968064).

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

3760142336 is an equidigital number, since it uses as much as digits as its factorization.

3760142336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

The square root of 3760142336 is about 61319.9994781474. Note that the first 3 decimals coincide. The cubic root of 3760142336 is about 1555.0156408445.

The spelling of 3760142336 in words is "three billion, seven hundred sixty million, one hundred forty-two thousand, three hundred thirty-six".