1344884500 has 48 divisors (see below), whose sum is σ = 2944665360. Its totient is φ = 536592000.

The previous prime is 1344884477. The next prime is 1344884503. The reversal of 1344884500 is 54884431.

It can be written as a sum of positive squares in 8 ways, for example, as 1268356996 + 76527504 = 35614^2 + 8748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1344884500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344884503) 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, 207306 + ... + 213694.

It is an arithmetic number, because the mean of its divisors is an integer number (61347195).

Almost surely, 2^1344884500 is an apocalyptic number.

1344884500 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 1344884500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472332680).

1344884500 is an abundant number, since it is smaller than the sum of its proper divisors (1599780860).

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

1344884500 is a wasteful number, since it uses less digits than its factorization.

1344884500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 1344884500 is about 36672.6669332897. Note that the first 3 decimals coincide. The cubic root of 1344884500 is about 1103.8117075870.

The spelling of 1344884500 in words is "one billion, three hundred forty-four million, eight hundred eighty-four thousand, five hundred".