3656945880 has 384 divisors, whose sum is σ = 14303278080. Its totient is φ = 823011840.

The previous prime is 3656945863. The next prime is 3656945899. The reversal of 3656945880 is 885496563.

It is a happy number.

3656945880 is a `hidden beast` number, since 3 + 6 + 56 + 9 + 4 + 588 + 0 = 666.

3656945880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4830462 + ... + 4831218.

It is an arithmetic number, because the mean of its divisors is an integer number (37248120).

Almost surely, 2^3656945880 is an apocalyptic number.

3656945880 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 3656945880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151639040).

3656945880 is an abundant number, since it is smaller than the sum of its proper divisors (10646332200).

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

3656945880 is a wasteful number, since it uses less digits than its factorization.

3656945880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 3656945880 is about 60472.6870578776. The cubic root of 3656945880 is about 1540.6577670262.

The spelling of 3656945880 in words is "three billion, six hundred fifty-six million, nine hundred forty-five thousand, eight hundred eighty".