3656879460 has 540 divisors, whose sum is σ = 13464626868. Its totient is φ = 829730304.

The previous prime is 3656879453. The next prime is 3656879467. The reversal of 3656879460 is 649786563.

3656879460 is a `hidden beast` number, since 3 + 6 + 568 + 79 + 4 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3656879453) and next prime (3656879467).

It can be written as a sum of positive squares in 6 ways, for example, as 196616484 + 3460262976 = 14022^2 + 58824^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a junction number, because it is equal to n+sod(n) for n = 3656879397 and 3656879406.

It is not an unprimeable number, because it can be changed into a prime (3656879467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 98834562 + ... + 98834598.

Almost surely, 2^3656879460 is an apocalyptic number.

3656879460 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 3656879460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732313434).

3656879460 is an abundant number, since it is smaller than the sum of its proper divisors (9807747408).

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

3656879460 is a wasteful number, since it uses less digits than its factorization.

3656879460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3656879460 is about 60472.1378818378. The cubic root of 3656879460 is about 1540.6484394696.

The spelling of 3656879460 in words is "three billion, six hundred fifty-six million, eight hundred seventy-nine thousand, four hundred sixty".