1345667400 has 864 divisors, whose sum is σ = 6119474400. Its totient is φ = 261273600.

The previous prime is 1345667383. The next prime is 1345667423. The reversal of 1345667400 is 47665431.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18433764 + ... + 18433836.

It is an arithmetic number, because the mean of its divisors is an integer number (7082725).

Almost surely, 2^1345667400 is an apocalyptic number.

1345667400 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 1345667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059737200).

1345667400 is an abundant number, since it is smaller than the sum of its proper divisors (4773807000).

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

1345667400 is a wasteful number, since it uses less digits than its factorization.

1345667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1345667400 is about 36683.3395426316. The cubic root of 1345667400 is about 1104.0258539944.

The spelling of 1345667400 in words is "one billion, three hundred forty-five million, six hundred sixty-seven thousand, four hundred".