3806936820 has 240 divisors, whose sum is σ = 12749924880. Its totient is φ = 947552256.

The previous prime is 3806936813. The next prime is 3806936821. The reversal of 3806936820 is 286396083.

It can be written as a sum of positive squares in 8 ways, for example, as 1774224 + 3805162596 = 1332^2 + 61686^2 .

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 (3806936821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3772476 + ... + 3773484.

It is an arithmetic number, because the mean of its divisors is an integer number (53124687).

Almost surely, 2^3806936820 is an apocalyptic number.

3806936820 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 3806936820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374962440).

3806936820 is an abundant number, since it is smaller than the sum of its proper divisors (8942988060).

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

3806936820 is a wasteful number, since it uses less digits than its factorization.

3806936820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1173 counting only the distinct ones).

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

The square root of 3806936820 is about 61700.3794153650. The cubic root of 3806936820 is about 1561.4397211710.

The spelling of 3806936820 in words is "three billion, eight hundred six million, nine hundred thirty-six thousand, eight hundred twenty".