1349913600 has 792 divisors, whose sum is σ = 5913177088. Its totient is φ = 298598400.

The previous prime is 1349913589. The next prime is 1349913619. The reversal of 1349913600 is 63199431.

1349913600 is a `hidden beast` number, since 1 + 3 + 49 + 9 + 1 + 3 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 43545585 + ... + 43545615.

Almost surely, 2^1349913600 is an apocalyptic number.

1349913600 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 1349913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956588544).

1349913600 is an abundant number, since it is smaller than the sum of its proper divisors (4563263488).

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

1349913600 is an equidigital number, since it uses as much as digits as its factorization.

1349913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1349913600 is about 36741.1703678585. The cubic root of 1349913600 is about 1105.1858712875.

The spelling of 1349913600 in words is "one billion, three hundred forty-nine million, nine hundred thirteen thousand, six hundred".