3682125216 has 480 divisors, whose sum is σ = 14226347520. Its totient is φ = 905126400.

The previous prime is 3682125199. The next prime is 3682125373. The reversal of 3682125216 is 6125212863.

3682125216 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 a super-2 number, since 2×3682125216² = 27116092212606093312, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3791611 + ... + 3792581.

It is an arithmetic number, because the mean of its divisors is an integer number (29638224).

Almost surely, 2^3682125216 is an apocalyptic number.

3682125216 is a gapful number since it is divisible by the number (36) 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 3682125216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113173760).

3682125216 is an abundant number, since it is smaller than the sum of its proper divisors (10544222304).

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

3682125216 is a wasteful number, since it uses less digits than its factorization.

3682125216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1013 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 3682125216 is about 60680.5175983198. The cubic root of 3682125216 is about 1544.1856694578.

The spelling of 3682125216 in words is "three billion, six hundred eighty-two million, one hundred twenty-five thousand, two hundred sixteen".