1349029248 has 128 divisors (see below), whose sum is σ = 4142016000. Its totient is φ = 381038592.

The previous prime is 1349029219. The next prime is 1349029249. The reversal of 1349029248 is 8429209431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349029249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236413 + ... + 242051.

It is an arithmetic number, because the mean of its divisors is an integer number (32359500).

Almost surely, 2^1349029248 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 1349029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071008000).

1349029248 is an abundant number, since it is smaller than the sum of its proper divisors (2792986752).

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

1349029248 is an equidigital number, since it uses as much as digits as its factorization.

1349029248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1349029248 is about 36729.1335046173. The cubic root of 1349029248 is about 1104.9444763704.

The spelling of 1349029248 in words is "one billion, three hundred forty-nine million, twenty-nine thousand, two hundred forty-eight".