3729119904 has 288 divisors, whose sum is σ = 11705904000. Its totient is φ = 1154165760.

The previous prime is 3729119903. The next prime is 3729119963. The reversal of 3729119904 is 4099119273.

3729119904 is a `hidden beast` number, since 372 + 91 + 199 + 0 + 4 = 666.

3729119904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3729119904.

It is not an unprimeable number, because it can be changed into a prime (3729119903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18739197 + ... + 18739395.

It is an arithmetic number, because the mean of its divisors is an integer number (40645500).

Almost surely, 2^3729119904 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 3729119904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852952000).

3729119904 is an abundant number, since it is smaller than the sum of its proper divisors (7976784096).

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

3729119904 is a wasteful number, since it uses less digits than its factorization.

3729119904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 3729119904 is about 61066.5203200575. The cubic root of 3729119904 is about 1550.7273594900.

The spelling of 3729119904 in words is "three billion, seven hundred twenty-nine million, one hundred nineteen thousand, nine hundred four".