1343585880 has 768 divisors, whose sum is σ = 5870592000. Its totient is φ = 274337280.

The previous prime is 1343585857. The next prime is 1343585891. The reversal of 1343585880 is 885853431.

1343585880 is a `hidden beast` number, since 1 + 34 + 35 + 8 + 588 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43341465 + ... + 43341495.

It is an arithmetic number, because the mean of its divisors is an integer number (7644000).

Almost surely, 2^1343585880 is an apocalyptic number.

1343585880 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 1343585880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935296000).

1343585880 is an abundant number, since it is smaller than the sum of its proper divisors (4527006120).

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

1343585880 is a wasteful number, since it uses less digits than its factorization.

1343585880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1343585880 is about 36654.9570999613. The cubic root of 1343585880 is about 1103.4563131073.

The spelling of 1343585880 in words is "one billion, three hundred forty-three million, five hundred eighty-five thousand, eight hundred eighty".