3680827098 has 96 divisors (see below), whose sum is σ = 8663132160. Its totient is φ = 1038173760.

The previous prime is 3680827091. The next prime is 3680827123. The reversal of 3680827098 is 8907280863.

It is a super-2 number, since 2×3680827098² = 27096976250742203208, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3680827098.

It is not an unprimeable number, because it can be changed into a prime (3680827091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594165 + ... + 600327.

It is an arithmetic number, because the mean of its divisors is an integer number (90240960).

Almost surely, 2^3680827098 is an apocalyptic number.

3680827098 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680827098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331566080).

3680827098 is an abundant number, since it is smaller than the sum of its proper divisors (4982305062).

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

3680827098 is a wasteful number, since it uses less digits than its factorization.

3680827098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 3680827098 is about 60669.8203227931. The cubic root of 3680827098 is about 1544.0041827072.

The spelling of 3680827098 in words is "three billion, six hundred eighty million, eight hundred twenty-seven thousand, ninety-eight".