3768412032 has 768 divisors, whose sum is σ = 15030720000. Its totient is φ = 921231360.

The previous prime is 3768412031. The next prime is 3768412057. The reversal of 3768412032 is 2302148673.

It is a happy number.

3768412032 is a `hidden beast` number, since 376 + 84 + 1 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768412031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221671288 + ... + 221671304.

It is an arithmetic number, because the mean of its divisors is an integer number (19571250).

Almost surely, 2^3768412032 is an apocalyptic number.

3768412032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3768412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515360000).

3768412032 is an abundant number, since it is smaller than the sum of its proper divisors (11262307968).

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

3768412032 is a wasteful number, since it uses less digits than its factorization.

3768412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3768412032 is about 61387.3931031446. The cubic root of 3768412032 is about 1556.1547901689.

It can be divided in two parts, 376841 and 2032, that added together give a palindrome (378873).

The spelling of 3768412032 in words is "three billion, seven hundred sixty-eight million, four hundred twelve thousand, thirty-two".