3764664672 has 96 divisors (see below), whose sum is σ = 10078437600. Its totient is φ = 1230225408.

The previous prime is 3764664661. The next prime is 3764664697. The reversal of 3764664672 is 2764664673.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013154 + ... + 1016862.

It is an arithmetic number, because the mean of its divisors is an integer number (104983725).

Almost surely, 2^3764664672 is an apocalyptic number.

3764664672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3764664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039218800).

3764664672 is an abundant number, since it is smaller than the sum of its proper divisors (6313772928).

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

3764664672 is a wasteful number, since it uses less digits than its factorization.

3764664672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928 (or 3920 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 51.

The square root of 3764664672 is about 61356.8632835806. The cubic root of 3764664672 is about 1555.6387986232.

Subtracting from 3764664672 its reverse (2764664673), we obtain a palindrome (999999999).

The spelling of 3764664672 in words is "three billion, seven hundred sixty-four million, six hundred sixty-four thousand, six hundred seventy-two".