3653346816 has 240 divisors, whose sum is σ = 12283169184. Its totient is φ = 1023639552.

The previous prime is 3653346797. The next prime is 3653346821. The reversal of 3653346816 is 6186433563.

3653346816 is a `hidden beast` number, since 36 + 533 + 4 + 6 + 81 + 6 = 666.

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, 1708500 + ... + 1710636.

Almost surely, 2^3653346816 is an apocalyptic number.

3653346816 is a gapful number since it is divisible by the number (36) 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 3653346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141584592).

3653346816 is an abundant number, since it is smaller than the sum of its proper divisors (8629822368).

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

3653346816 is a wasteful number, since it uses less digits than its factorization.

3653346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2202 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3653346816 is about 60442.9219677540. The cubic root of 3653346816 is about 1540.1521770123.

The spelling of 3653346816 in words is "three billion, six hundred fifty-three million, three hundred forty-six thousand, eight hundred sixteen".