1345944000 has 112 divisors (see below), whose sum is σ = 4444386336. Its totient is φ = 358912000.

The previous prime is 1345943987. The next prime is 1345944007. The reversal of 1345944000 is 4495431.

It is a super-2 number, since 2×1345944000² = 3623130502272000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345944007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4041 + ... + 52040.

Almost surely, 2^1345944000 is an apocalyptic number.

1345944000 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 1345944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222193168).

1345944000 is an abundant number, since it is smaller than the sum of its proper divisors (3098442336).

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

1345944000 is an equidigital number, since it uses as much as digits as its factorization.

1345944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56111 (or 56091 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1345944000 is about 36687.1094527765. The cubic root of 1345944000 is about 1104.1014924547.

The spelling of 1345944000 in words is "one billion, three hundred forty-five million, nine hundred forty-four thousand".