1345996800 has 432 divisors, whose sum is σ = 5069675520. Its totient is φ = 340623360.

The previous prime is 1345996783. The next prime is 1345996819. The reversal of 1345996800 is 86995431.

It is a happy number.

It is a super-2 number, since 2×1345996800² = 3623414771220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10598337 + ... + 10598463.

It is an arithmetic number, because the mean of its divisors is an integer number (11735360).

Almost surely, 2^1345996800 is an apocalyptic number.

1345996800 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 1345996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534837760).

1345996800 is an abundant number, since it is smaller than the sum of its proper divisors (3723678720).

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

1345996800 is a wasteful number, since it uses less digits than its factorization.

1345996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1345996800 is about 36687.8290445210. The cubic root of 1345996800 is about 1104.1159298549.

The spelling of 1345996800 in words is "one billion, three hundred forty-five million, nine hundred ninety-six thousand, eight hundred".