1729749024 has 36 divisors (see below), whose sum is σ = 4918974606. Its totient is φ = 576582912.

The previous prime is 1729748957. The next prime is 1729749061. The reversal of 1729749024 is 4209479271.

It is a happy number.

1729749024 is a `hidden beast` number, since 1 + 72 + 97 + 490 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1097729424 + 632019600 = 33132^2 + 25140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3002749 + ... + 3003324.

Almost surely, 2^1729749024 is an apocalyptic number.

It is an amenable number.

1729749024 is an abundant number, since it is smaller than the sum of its proper divisors (3189225582).

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

1729749024 is a wasteful number, since it uses less digits than its factorization.

1729749024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006089 (or 6006078 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1729749024 is about 41590.2515500928. The cubic root of 1729749024 is about 1200.4047301459.

It can be divided in two parts, 17 and 29749024, that added together give a triangular number (29749041 = T₇₇₁₃).

The spelling of 1729749024 in words is "one billion, seven hundred twenty-nine million, seven hundred forty-nine thousand, twenty-four".