3729340416 has 96 divisors (see below), whose sum is σ = 10000972800. Its totient is φ = 1235804160.

The previous prime is 3729340409. The next prime is 3729340427. The reversal of 3729340416 is 6140439273.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3729340416³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1098081 + ... + 1101471.

It is an arithmetic number, because the mean of its divisors is an integer number (104176800).

Almost surely, 2^3729340416 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 3729340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000486400).

3729340416 is an abundant number, since it is smaller than the sum of its proper divisors (6271632384).

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

3729340416 is a wasteful number, since it uses less digits than its factorization.

3729340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3729340416 is about 61068.3257998776. The cubic root of 3729340416 is about 1550.7579249907.

Adding to 3729340416 its reverse (6140439273), we get a palindrome (9869779689).

The spelling of 3729340416 in words is "three billion, seven hundred twenty-nine million, three hundred forty thousand, four hundred sixteen".