1353736008 has 48 divisors (see below), whose sum is σ = 3792800700. Its totient is φ = 435684480.

The previous prime is 1353735953. The next prime is 1353736031. The reversal of 1353736008 is 8006373531.

1353736008 is a `hidden beast` number, since 13 + 5 + 37 + 3 + 600 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1303354404 + 50381604 = 36102^2 + 7098^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322083 + ... + 326258.

Almost surely, 2^1353736008 is an apocalyptic number.

1353736008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1353736008 is an abundant number, since it is smaller than the sum of its proper divisors (2439064692).

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

1353736008 is a wasteful number, since it uses less digits than its factorization.

1353736008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648382 (or 648375 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1353736008 is about 36793.1516453810. The cubic root of 1353736008 is about 1106.2280343431.

The spelling of 1353736008 in words is "one billion, three hundred fifty-three million, seven hundred thirty-six thousand, eight".