1345676400 has 180 divisors, whose sum is σ = 4779022248. Its totient is φ = 350461440.

The previous prime is 1345676399. The next prime is 1345676417. The reversal of 1345676400 is 46765431.

It is a happy number.

1345676400 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 6 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150454 + ... + 159146.

Almost surely, 2^1345676400 is an apocalyptic number.

1345676400 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 1345676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389511124).

1345676400 is an abundant number, since it is smaller than the sum of its proper divisors (3433345848).

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

1345676400 is a wasteful number, since it uses less digits than its factorization.

1345676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8746 counting only the distinct ones).

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

The square root of 1345676400 is about 36683.4622139187. The cubic root of 1345676400 is about 1104.0283152788.

The spelling of 1345676400 in words is "one billion, three hundred forty-five million, six hundred seventy-six thousand, four hundred".