3676065120 has 576 divisors, whose sum is σ = 16026716160. Its totient is φ = 774862848.

The previous prime is 3676065119. The next prime is 3676065233. The reversal of 3676065120 is 215606763.

3676065120 is a `hidden beast` number, since 36 + 7 + 606 + 5 + 12 + 0 = 666.

It is a super-2 number, since 2×3676065120² = 27026909532961228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3537561 + ... + 3538599.

It is an arithmetic number, because the mean of its divisors is an integer number (27824160).

Almost surely, 2^3676065120 is an apocalyptic number.

3676065120 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 3676065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013358080).

3676065120 is an abundant number, since it is smaller than the sum of its proper divisors (12350651040).

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

3676065120 is a wasteful number, since it uses less digits than its factorization.

3676065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3676065120 is about 60630.5625901657. The cubic root of 3676065120 is about 1543.3380564313.

The spelling of 3676065120 in words is "three billion, six hundred seventy-six million, sixty-five thousand, one hundred twenty".