3668583360 has 112 divisors (see below), whose sum is σ = 12543775776. Its totient is φ = 903032832.

The previous prime is 3668583349. The next prime is 3668583389. The reversal of 3668583360 is 633858663.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134499 + ... + 159458.

It is an arithmetic number, because the mean of its divisors is an integer number (111997998).

Almost surely, 2^3668583360 is an apocalyptic number.

3668583360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3668583360 is an abundant number, since it is smaller than the sum of its proper divisors (8875192416).

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

3668583360 is a wasteful number, since it uses less digits than its factorization.

3668583360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293990 (or 293980 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The square root of 3668583360 is about 60568.8315885324. The cubic root of 3668583360 is about 1542.2903122556.

The spelling of 3668583360 in words is "three billion, six hundred sixty-eight million, five hundred eighty-three thousand, three hundred sixty".