1355342976 has 256 divisors, whose sum is σ = 4366252800. Its totient is φ = 411402240.

The previous prime is 1355342959. The next prime is 1355342981. The reversal of 1355342976 is 6792435531.

1355342976 is a `hidden beast` number, since 1 + 3 + 553 + 4 + 2 + 97 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4357861 + ... + 4358171.

It is an arithmetic number, because the mean of its divisors is an integer number (17055675).

Almost surely, 2^1355342976 is an apocalyptic number.

1355342976 is a gapful number since it is divisible by the number (16) 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 1355342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183126400).

1355342976 is an abundant number, since it is smaller than the sum of its proper divisors (3010909824).

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

1355342976 is a wasteful number, since it uses less digits than its factorization.

1355342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 1355342976 is about 36814.9830368017. The cubic root of 1355342976 is about 1106.6655815218.

The spelling of 1355342976 in words is "one billion, three hundred fifty-five million, three hundred forty-two thousand, nine hundred seventy-six".