1353786336 has 144 divisors (see below), whose sum is σ = 4410806400. Its totient is φ = 385830144.

The previous prime is 1353786281. The next prime is 1353786353. The reversal of 1353786336 is 6336873531.

1353786336 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 7 + 8 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (816480) is a multiple of the sum of its prime factors (1701).

It is a junction number, because it is equal to n+sod(n) for n = 1353786291 and 1353786300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1328035 + ... + 1329053.

It is an arithmetic number, because the mean of its divisors is an integer number (30630600).

Almost surely, 2^1353786336 is an apocalyptic number.

1353786336 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 1353786336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205403200).

1353786336 is an abundant number, since it is smaller than the sum of its proper divisors (3057020064).

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

1353786336 is a wasteful number, since it uses less digits than its factorization.

1353786336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1690 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 1353786336 is about 36793.8355706496. The cubic root of 1353786336 is about 1106.2417429624.

The spelling of 1353786336 in words is "one billion, three hundred fifty-three million, seven hundred eighty-six thousand, three hundred thirty-six".