1349856000 has 432 divisors, whose sum is σ = 5015730720. Its totient is φ = 348364800.

The previous prime is 1349855999. The next prime is 1349856029. The reversal of 1349856000 is 6589431.

1349856000 is a `hidden beast` number, since 1 + 3 + 4 + 98 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×1349856000² = 3644222441472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12383946 + ... + 12384054.

Almost surely, 2^1349856000 is an apocalyptic number.

1349856000 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 1349856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507865360).

1349856000 is an abundant number, since it is smaller than the sum of its proper divisors (3665874720).

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

1349856000 is a wasteful number, since it uses less digits than its factorization.

1349856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1349856000 is about 36740.3864976949. The cubic root of 1349856000 is about 1105.1701518588.

The spelling of 1349856000 in words is "one billion, three hundred forty-nine million, eight hundred fifty-six thousand".