1355343264 has 432 divisors, whose sum is σ = 4705646400. Its totient is φ = 367994880.

The previous prime is 1355343239. The next prime is 1355343289. The reversal of 1355343264 is 4623435531.

1355343264 is a `hidden beast` number, since 1 + 3 + 55 + 343 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (1355343239) and next prime (1355343289).

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 71 ways as a sum of consecutive naturals, for example, 15228532 + ... + 15228620.

It is an arithmetic number, because the mean of its divisors is an integer number (10892700).

Almost surely, 2^1355343264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352823200).

1355343264 is an abundant number, since it is smaller than the sum of its proper divisors (3350303136).

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

1355343264 is a wasteful number, since it uses less digits than its factorization.

1355343264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 1355343264 is about 36814.9869482525. The cubic root of 1355343264 is about 1106.6656599078.

Adding to 1355343264 its reverse (4623435531), we get a palindrome (5978778795).

The spelling of 1355343264 in words is "one billion, three hundred fifty-five million, three hundred forty-three thousand, two hundred sixty-four".