1349481600 has 192 divisors, whose sum is σ = 4939044000. Its totient is φ = 359838720.

The previous prime is 1349481583. The next prime is 1349481613. The reversal of 1349481600 is 61849431.

1349481600 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 48 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1349481600² = 3642201177477120000, 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78591 + ... + 94209.

Almost surely, 2^1349481600 is an apocalyptic number.

1349481600 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 1349481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469522000).

1349481600 is an abundant number, since it is smaller than the sum of its proper divisors (3589562400).

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

1349481600 is a wasteful number, since it uses less digits than its factorization.

1349481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15652 (or 15629 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1349481600 is about 36735.2909339235. The cubic root of 1349481600 is about 1105.0679646710.

The spelling of 1349481600 in words is "one billion, three hundred forty-nine million, four hundred eighty-one thousand, six hundred".