1349657600 has 66 divisors (see below), whose sum is σ = 3345579954. Its totient is φ = 539852800.

The previous prime is 1349657563. The next prime is 1349657629. The reversal of 1349657600 is 67569431.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 1349533696 = 352^2 + 36736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 761 + ... + 51960.

Almost surely, 2^1349657600 is an apocalyptic number.

1349657600 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 1349657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672789977).

1349657600 is an abundant number, since it is smaller than the sum of its proper divisors (1995922354).

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

1349657600 is an equidigital number, since it uses as much as digits as its factorization.

1349657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52751 (or 52728 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 1349657600 is about 36737.6863724432. The cubic root of 1349657600 is about 1105.1160037370.

The spelling of 1349657600 in words is "one billion, three hundred forty-nine million, six hundred fifty-seven thousand, six hundred".