3729423984 has 160 divisors (see below), whose sum is σ = 11511763200. Its totient is φ = 1025402880.

The previous prime is 3729423953. The next prime is 3729424019. The reversal of 3729423984 is 4893249273.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400372 + ... + 409580.

It is an arithmetic number, because the mean of its divisors is an integer number (71948520).

Almost surely, 2^3729423984 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 3729423984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755881600).

3729423984 is an abundant number, since it is smaller than the sum of its proper divisors (7782339216).

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

3729423984 is a wasteful number, since it uses less digits than its factorization.

3729423984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9297 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 3729423984 is about 61069.0100132629. The cubic root of 3729423984 is about 1550.7695081624.

The spelling of 3729423984 in words is "three billion, seven hundred twenty-nine million, four hundred twenty-three thousand, nine hundred eighty-four".