1345986600 has 384 divisors, whose sum is σ = 5099673600. Its totient is φ = 286848000.

The previous prime is 1345986589. The next prime is 1345986637. The reversal of 1345986600 is 66895431.

1345986600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8059717 + ... + 8059883.

It is an arithmetic number, because the mean of its divisors is an integer number (13280400).

Almost surely, 2^1345986600 is an apocalyptic number.

1345986600 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 1345986600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549836800).

1345986600 is an abundant number, since it is smaller than the sum of its proper divisors (3753687000).

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

1345986600 is a wasteful number, since it uses less digits than its factorization.

1345986600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1345986600 is about 36687.6900335794. The cubic root of 1345986600 is about 1104.1131408411.

The spelling of 1345986600 in words is "one billion, three hundred forty-five million, nine hundred eighty-six thousand, six hundred".