13349376000 has 312 divisors, whose sum is σ = 48139686504. Its totient is φ = 3558604800.

The previous prime is 13349375999. The next prime is 13349376071. The reversal of 13349376000 is 67394331.

13349376000 is a `hidden beast` number, since 1 + 3 + 3 + 49 + 3 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2359627776 + 10989748224 = 48576^2 + 104832^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4606552 + ... + 4609448.

It is an arithmetic number, because the mean of its divisors is an integer number (154293867).

Almost surely, 2^13349376000 is an apocalyptic number.

13349376000 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 13349376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24069843252).

13349376000 is an abundant number, since it is smaller than the sum of its proper divisors (34790310504).

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

13349376000 is an equidigital number, since it uses as much as digits as its factorization.

13349376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 13349376000 in words is "thirteen billion, three hundred forty-nine million, three hundred seventy-six thousand".