3682547712 has 240 divisors, whose sum is σ = 11178367200. Its totient is φ = 1207664640.

The previous prime is 3682547677. The next prime is 3682547731. The reversal of 3682547712 is 2177452863.

3682547712 is a `hidden beast` number, since 36 + 8 + 2 + 547 + 71 + 2 = 666.

3682547712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3682547712² = 27122315302312869888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13105012 + ... + 13105292.

It is an arithmetic number, because the mean of its divisors is an integer number (46576530).

Almost surely, 2^3682547712 is an apocalyptic number.

3682547712 is a gapful number since it is divisible by the number (32) 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 3682547712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589183600).

3682547712 is an abundant number, since it is smaller than the sum of its proper divisors (7495819488).

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

3682547712 is an equidigital number, since it uses as much as digits as its factorization.

3682547712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 365 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3682547712 is about 60683.9988135258. The cubic root of 3682547712 is about 1544.2447284051.

The spelling of 3682547712 in words is "three billion, six hundred eighty-two million, five hundred forty-seven thousand, seven hundred twelve".