3768598432 has 48 divisors (see below), whose sum is σ = 7604749152. Its totient is φ = 1837382400.

The previous prime is 3768598417. The next prime is 3768598439. The reversal of 3768598432 is 2348958673.

It is not an unprimeable number, because it can be changed into a prime (3768598439) 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, 962623 + ... + 966529.

It is an arithmetic number, because the mean of its divisors is an integer number (158432274).

Almost surely, 2^3768598432 is an apocalyptic number.

3768598432 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 3768598432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802374576).

3768598432 is an abundant number, since it is smaller than the sum of its proper divisors (3836150720).

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

3768598432 is a wasteful number, since it uses less digits than its factorization.

3768598432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4653 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 55.

The square root of 3768598432 is about 61388.9113114087. The cubic root of 3768598432 is about 1556.1804475252.

The spelling of 3768598432 in words is "three billion, seven hundred sixty-eight million, five hundred ninety-eight thousand, four hundred thirty-two".