3729618432 has 240 divisors, whose sum is σ = 11534595072. Its totient is φ = 1201858560.

The previous prime is 3729618413. The next prime is 3729618437. The reversal of 3729618432 is 2348169273.

3729618432 is a `hidden beast` number, since 3 + 7 + 29 + 618 + 4 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729618437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3856413 + ... + 3857379.

Almost surely, 2^3729618432 is an apocalyptic number.

3729618432 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 3729618432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767297536).

3729618432 is an abundant number, since it is smaller than the sum of its proper divisors (7804976640).

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

3729618432 is an frugal number, since it uses more digits than its factorization.

3729618432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1003 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3729618432 is about 61070.6020274895. The cubic root of 3729618432 is about 1550.7964594905.

The spelling of 3729618432 in words is "three billion, seven hundred twenty-nine million, six hundred eighteen thousand, four hundred thirty-two".