3729127416 has 128 divisors (see below), whose sum is σ = 11304960000. Its totient is φ = 1001331072.

The previous prime is 3729127393. The next prime is 3729127417. The reversal of 3729127416 is 6147219273.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729127417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400785 + ... + 409983.

It is an arithmetic number, because the mean of its divisors is an integer number (88320000).

Almost surely, 2^3729127416 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 3729127416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652480000).

3729127416 is an abundant number, since it is smaller than the sum of its proper divisors (7575832584).

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

3729127416 is a wasteful number, since it uses less digits than its factorization.

3729127416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9361 (or 9357 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 3729127416 is about 61066.5818267242. The cubic root of 3729127416 is about 1550.7284007595.

The spelling of 3729127416 in words is "three billion, seven hundred twenty-nine million, one hundred twenty-seven thousand, four hundred sixteen".