1349829504 has 96 divisors (see below), whose sum is σ = 3891597840. Its totient is φ = 449095680.

The previous prime is 1349829499. The next prime is 1349829583. The reversal of 1349829504 is 4059289431.

1349829504 is a `hidden beast` number, since 1 + 34 + 98 + 29 + 504 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1349829504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021164 + ... + 1022484.

Almost surely, 2^1349829504 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 1349829504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945798920).

1349829504 is an abundant number, since it is smaller than the sum of its proper divisors (2541768336).

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

1349829504 is a wasteful number, since it uses less digits than its factorization.

1349829504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1349829504 is about 36740.0259118036. The cubic root of 1349829504 is about 1105.1629207715.

The spelling of 1349829504 in words is "one billion, three hundred forty-nine million, eight hundred twenty-nine thousand, five hundred four".