1345788000 has 384 divisors, whose sum is σ = 5193901440. Its totient is φ = 337305600.

The previous prime is 1345787999. The next prime is 1345788023. The reversal of 1345788000 is 8875431.

1345788000 is a `hidden beast` number, since 1 + 3 + 4 + 578 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×1345788000² = 3622290681888000000, which contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1835634 + ... + 1836366.

It is an arithmetic number, because the mean of its divisors is an integer number (13525785).

Almost surely, 2^1345788000 is an apocalyptic number.

1345788000 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 1345788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596950720).

1345788000 is an abundant number, since it is smaller than the sum of its proper divisors (3848113440).

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

1345788000 is a wasteful number, since it uses less digits than its factorization.

1345788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1345788000 is about 36684.9833037988. The cubic root of 1345788000 is about 1104.0588342937.

The spelling of 1345788000 in words is "one billion, three hundred forty-five million, seven hundred eighty-eight thousand".