3751631664 has 160 divisors (see below), whose sum is σ = 10901088000. Its totient is φ = 1101972480.

The previous prime is 3751631657. The next prime is 3751631677. The reversal of 3751631664 is 4661361573.

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, 3382342 + ... + 3383450.

It is an arithmetic number, because the mean of its divisors is an integer number (68131800).

Almost surely, 2^3751631664 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 3751631664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450544000).

3751631664 is an abundant number, since it is smaller than the sum of its proper divisors (7149456336).

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

3751631664 is a wasteful number, since it uses less digits than its factorization.

3751631664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1317 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 3751631664 is about 61250.5646014794. The cubic root of 3751631664 is about 1553.8415518332.

The spelling of 3751631664 in words is "three billion, seven hundred fifty-one million, six hundred thirty-one thousand, six hundred sixty-four".