3735374656 has 56 divisors (see below), whose sum is σ = 7991270784. Its totient is φ = 1722140160.

The previous prime is 3735374581. The next prime is 3735374717. The reversal of 3735374656 is 6564735373.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1015701 + ... + 1019371.

It is an arithmetic number, because the mean of its divisors is an integer number (142701264).

Almost surely, 2^3735374656 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 3735374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995635392).

3735374656 is an abundant number, since it is smaller than the sum of its proper divisors (4255896128).

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

3735374656 is a wasteful number, since it uses less digits than its factorization.

3735374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4909 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 49.

The square root of 3735374656 is about 61117.7114754798. The cubic root of 3735374656 is about 1551.5938729029.

The spelling of 3735374656 in words is "three billion, seven hundred thirty-five million, three hundred seventy-four thousand, six hundred fifty-six".