3729252384 has 576 divisors, whose sum is σ = 13525843968. Its totient is φ = 958003200.

The previous prime is 3729252383. The next prime is 3729252389. The reversal of 3729252384 is 4832529273.

3729252384 is a `hidden beast` number, since 37 + 2 + 92 + 523 + 8 + 4 = 666.

Its product of digits (725760) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (3729252383) 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, 29364129 + ... + 29364255.

It is an arithmetic number, because the mean of its divisors is an integer number (23482368).

Almost surely, 2^3729252384 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 3729252384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762921984).

3729252384 is an abundant number, since it is smaller than the sum of its proper divisors (9796591584).

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

3729252384 is a wasteful number, since it uses less digits than its factorization.

3729252384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3729252384 is about 61067.6050291806. The cubic root of 3729252384 is about 1550.7457228870.

It can be divided in two parts, 37292 and 52384, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 3729252384 in words is "three billion, seven hundred twenty-nine million, two hundred fifty-two thousand, three hundred eighty-four".