1353616704 has 448 divisors, whose sum is σ = 4740249600. Its totient is φ = 374169600.

The previous prime is 1353616703. The next prime is 1353616709. The reversal of 1353616704 is 4076163531.

1353616704 is a `hidden beast` number, since 1 + 35 + 3 + 616 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353616703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19064989 + ... + 19065059.

Almost surely, 2^1353616704 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 1353616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370124800).

1353616704 is an abundant number, since it is smaller than the sum of its proper divisors (3386632896).

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

1353616704 is a wasteful number, since it uses less digits than its factorization.

1353616704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

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

The square root of 1353616704 is about 36791.5303296832. The cubic root of 1353616704 is about 1106.1955363017.

The spelling of 1353616704 in words is "one billion, three hundred fifty-three million, six hundred sixteen thousand, seven hundred four".