3761306444 has 48 divisors (see below), whose sum is σ = 7686336000. Its totient is φ = 1609847568.

The previous prime is 3761306441. The next prime is 3761306473. The reversal of 3761306444 is 4446031673.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3761306398 and 3761306407.

It is not an unprimeable number, because it can be changed into a prime (3761306441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1457147 + ... + 1459725.

It is an arithmetic number, because the mean of its divisors is an integer number (160132000).

Almost surely, 2^3761306444 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 3761306444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843168000).

3761306444 is an abundant number, since it is smaller than the sum of its proper divisors (3925029556).

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

3761306444 is a wasteful number, since it uses less digits than its factorization.

3761306444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 3761306444 is about 61329.4908180396. The cubic root of 3761306444 is about 1555.1760974806.

The spelling of 3761306444 in words is "three billion, seven hundred sixty-one million, three hundred six thousand, four hundred forty-four".