3773579904 has 96 divisors (see below), whose sum is σ = 11209261440. Its totient is φ = 1217272320.

The previous prime is 3773579903. The next prime is 3773579921. The reversal of 3773579904 is 4099753773.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3773579903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17122 + ... + 88545.

It is an arithmetic number, because the mean of its divisors is an integer number (116763140).

Almost surely, 2^3773579904 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 3773579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604630720).

3773579904 is an abundant number, since it is smaller than the sum of its proper divisors (7435681536).

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

3773579904 is a wasteful number, since it uses less digits than its factorization.

3773579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105718 (or 105703 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The square root of 3773579904 is about 61429.4709728156. The cubic root of 3773579904 is about 1556.8658178130.

The spelling of 3773579904 in words is "three billion, seven hundred seventy-three million, five hundred seventy-nine thousand, nine hundred four".