3680936820 has 144 divisors (see below), whose sum is σ = 12227604480. Its totient is φ = 888902400.

The previous prime is 3680936803. The next prime is 3680936821. The reversal of 3680936820 is 286390863.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680936821) 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, 529165 + ... + 536075.

It is an arithmetic number, because the mean of its divisors is an integer number (84913920).

Almost surely, 2^3680936820 is an apocalyptic number.

3680936820 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 3680936820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113802240).

3680936820 is an abundant number, since it is smaller than the sum of its proper divisors (8546667660).

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

3680936820 is a wasteful number, since it uses less digits than its factorization.

3680936820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7206 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3680936820 is about 60670.7245712461. The cubic root of 3680936820 is about 1544.0195243265.

The spelling of 3680936820 in words is "three billion, six hundred eighty million, nine hundred thirty-six thousand, eight hundred twenty".