1349760000 has 440 divisors, whose sum is σ = 4860069280. Its totient is φ = 331776000.

The previous prime is 1349759987. The next prime is 1349760007. The reversal of 1349760000 is 679431.

It is a happy number.

1349760000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1349760000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349760007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 36479982 + ... + 36480018.

It is an arithmetic number, because the mean of its divisors is an integer number (11045612).

Almost surely, 2^1349760000 is an apocalyptic number.

1349760000 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 1349760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430034640).

1349760000 is an abundant number, since it is smaller than the sum of its proper divisors (3510309280).

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

1349760000 is an equidigital number, since it uses as much as digits as its factorization.

1349760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1349760000 is about 36739.0800102561. The cubic root of 1349760000 is about 1105.1439518173.

The spelling of 1349760000 in words is "one billion, three hundred forty-nine million, seven hundred sixty thousand".