3692821968 has 80 divisors (see below), whose sum is σ = 11563396800. Its totient is φ = 1119035520.

The previous prime is 3692821961. The next prime is 3692821997. The reversal of 3692821968 is 8691282963.

3692821968 is a `hidden beast` number, since 369 + 2 + 8 + 219 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3692821961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 383803 + ... + 393306.

It is an arithmetic number, because the mean of its divisors is an integer number (144542460).

Almost surely, 2^3692821968 is an apocalyptic number.

It is an amenable number.

3692821968 is an abundant number, since it is smaller than the sum of its proper divisors (7870574832).

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

3692821968 is a wasteful number, since it uses less digits than its factorization.

3692821968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777137 (or 777125 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 3692821968 is about 60768.5935989965. The cubic root of 3692821968 is about 1545.6795351803.

The spelling of 3692821968 in words is "three billion, six hundred ninety-two million, eight hundred twenty-one thousand, nine hundred sixty-eight".