3656788830 has 192 divisors, whose sum is σ = 10448455680. Its totient is φ = 883872000.

The previous prime is 3656788829. The next prime is 3656788831. The reversal of 3656788830 is 388876563.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3656788829) and next prime (3656788831).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656788831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5353669 + ... + 5354351.

It is an arithmetic number, because the mean of its divisors is an integer number (54419040).

Almost surely, 2^3656788830 is an apocalyptic number.

3656788830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3656788830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224227840).

3656788830 is an abundant number, since it is smaller than the sum of its proper divisors (6791666850).

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

3656788830 is a wasteful number, since it uses less digits than its factorization.

3656788830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3656788830 is about 60471.3885238300. The cubic root of 3656788830 is about 1540.6357118492.

The spelling of 3656788830 in words is "three billion, six hundred fifty-six million, seven hundred eighty-eight thousand, eight hundred thirty".