3764006112 has 48 divisors (see below), whose sum is σ = 10199250432. Its totient is φ = 1214194560.

The previous prime is 3764006083. The next prime is 3764006117. The reversal of 3764006112 is 2116004673.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3764006112² = 28335484022346713088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3764006112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764006117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629418 + ... + 635369.

It is an arithmetic number, because the mean of its divisors is an integer number (212484384).

Almost surely, 2^3764006112 is an apocalyptic number.

3764006112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3764006112 is an abundant number, since it is smaller than the sum of its proper divisors (6435244320).

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

3764006112 is a wasteful number, since it uses less digits than its factorization.

3764006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264831 (or 1264823 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3764006112 is about 61351.4964120681. The cubic root of 3764006112 is about 1555.5480830420.

The spelling of 3764006112 in words is "three billion, seven hundred sixty-four million, six thousand, one hundred twelve".