3820671756 has 144 divisors (see below), whose sum is σ = 11142383616. Its totient is φ = 1092960000.

The previous prime is 3820671727. The next prime is 3820671769. The reversal of 3820671756 is 6571760283.

It is a super-2 number, since 2×3820671756² = 29195065334192247072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499521 + ... + 507111.

It is an arithmetic number, because the mean of its divisors is an integer number (77377664).

Almost surely, 2^3820671756 is an apocalyptic number.

3820671756 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 3820671756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571191808).

3820671756 is an abundant number, since it is smaller than the sum of its proper divisors (7321711860).

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

3820671756 is a wasteful number, since it uses less digits than its factorization.

3820671756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3820671756 is about 61811.5827009793. The cubic root of 3820671756 is about 1563.3152916036.

It can be divided in two parts, 3820 and 671756, that added together give a palindrome (675576).

The spelling of 3820671756 in words is "three billion, eight hundred twenty million, six hundred seventy-one thousand, seven hundred fifty-six".