1345814800 has 60 divisors (see below), whose sum is σ = 3527269776. Its totient is φ = 489385600.

The previous prime is 1345814753. The next prime is 1345814837. The reversal of 1345814800 is 84185431.

It is a super-2 number, since 2×1345814800² = 3622434951798080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148534 + ... + 157333.

Almost surely, 2^1345814800 is an apocalyptic number.

1345814800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345814800 is an abundant number, since it is smaller than the sum of its proper divisors (2181454976).

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

1345814800 is a wasteful number, since it uses less digits than its factorization.

1345814800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305896 (or 305885 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1345814800 is about 36685.3485740561. The cubic root of 1345814800 is about 1104.0661629815.

The spelling of 1345814800 in words is "one billion, three hundred forty-five million, eight hundred fourteen thousand, eight hundred".