3656333340 has 288 divisors, whose sum is σ = 12862100160. Its totient is φ = 832204800.

The previous prime is 3656333339. The next prime is 3656333399. The reversal of 3656333340 is 433336563.

3656333340 is a `hidden beast` number, since 36 + 563 + 33 + 34 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3656333295 and 3656333304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2123680 + ... + 2125400.

It is an arithmetic number, because the mean of its divisors is an integer number (44660070).

Almost surely, 2^3656333340 is an apocalyptic number.

3656333340 is a gapful number since it is divisible by the number (30) 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 3656333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431050080).

3656333340 is an abundant number, since it is smaller than the sum of its proper divisors (9205766820).

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

3656333340 is a wasteful number, since it uses less digits than its factorization.

3656333340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 36.

The square root of 3656333340 is about 60467.6222452975. The cubic root of 3656333340 is about 1540.5717419445.

The spelling of 3656333340 in words is "three billion, six hundred fifty-six million, three hundred thirty-three thousand, three hundred forty".