3764689992 has 108 divisors (see below), whose sum is σ = 11872187145. Its totient is φ = 1074584448.

The previous prime is 3764689991. The next prime is 3764689997. The reversal of 3764689992 is 2999864673.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2569881636 + 1194808356 = 50694^2 + 34566^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=43386.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3764689991) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3643908 + ... + 3644940.

Almost surely, 2^3764689992 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 3764689992

3764689992 is an abundant number, since it is smaller than the sum of its proper divisors (8107497153).

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

3764689992 is a wasteful number, since it uses less digits than its factorization.

3764689992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 1045 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 3764689992 is about 61357.0696171191. The cubic root of 3764689992 is about 1555.6422862012.

The spelling of 3764689992 in words is "three billion, seven hundred sixty-four million, six hundred eighty-nine thousand, nine hundred ninety-two".