1349679900 has 144 divisors (see below), whose sum is σ = 4006493568. Its totient is φ = 350688000.

The previous prime is 1349679887. The next prime is 1349679901. The reversal of 1349679900 is 99769431.

1349679900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1349679900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349679901) 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, 2397019 + ... + 2397581.

It is an arithmetic number, because the mean of its divisors is an integer number (27822872).

Almost surely, 2^1349679900 is an apocalyptic number.

1349679900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349679900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003246784).

1349679900 is an abundant number, since it is smaller than the sum of its proper divisors (2656813668).

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

1349679900 is a wasteful number, since it uses less digits than its factorization.

1349679900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 1349679900 is about 36737.9898742433. The cubic root of 1349679900 is about 1105.1220902069.

The spelling of 1349679900 in words is "one billion, three hundred forty-nine million, six hundred seventy-nine thousand, nine hundred".