3676683360 has 192 divisors, whose sum is σ = 13358822400. Its totient is φ = 832591872.

The previous prime is 3676683349. The next prime is 3676683371. The reversal of 3676683360 is 633866763.

3676683360 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 an interprime number because it is at equal distance from previous prime (3676683349) and next prime (3676683371).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 361221 + ... + 371259.

It is an arithmetic number, because the mean of its divisors is an integer number (69577200).

Almost surely, 2^3676683360 is an apocalyptic number.

3676683360 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 3676683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679411200).

3676683360 is an abundant number, since it is smaller than the sum of its proper divisors (9682139040).

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

3676683360 is a wasteful number, since it uses less digits than its factorization.

3676683360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10173 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The square root of 3676683360 is about 60635.6607946182. The cubic root of 3676683360 is about 1543.4245710245.

The spelling of 3676683360 in words is "three billion, six hundred seventy-six million, six hundred eighty-three thousand, three hundred sixty".