3764993688 has 96 divisors (see below), whose sum is σ = 10506887040. Its totient is φ = 1217410560.

The previous prime is 3764993677. The next prime is 3764993693. The reversal of 3764993688 is 8863994673.

3764993688 is a `hidden beast` number, since 37 + 6 + 499 + 36 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314745 + ... + 326487.

It is an arithmetic number, because the mean of its divisors is an integer number (109446740).

Almost surely, 2^3764993688 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 3764993688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253443520).

3764993688 is an abundant number, since it is smaller than the sum of its proper divisors (6741893352).

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

3764993688 is a wasteful number, since it uses less digits than its factorization.

3764993688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11889 (or 11882 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 3764993688 is about 61359.5443920504. The cubic root of 3764993688 is about 1555.6841160852.

The spelling of 3764993688 in words is "three billion, seven hundred sixty-four million, nine hundred ninety-three thousand, six hundred eighty-eight".