3827682420 has 96 divisors (see below), whose sum is σ = 10926026496. Its totient is φ = 1001011200.

The previous prime is 3827682403. The next prime is 3827682457. The reversal of 3827682420 is 242867283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836940 + ... + 841500.

It is an arithmetic number, because the mean of its divisors is an integer number (113812776).

Almost surely, 2^3827682420 is an apocalyptic number.

3827682420 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 3827682420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463013248).

3827682420 is an abundant number, since it is smaller than the sum of its proper divisors (7098344076).

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

3827682420 is a wasteful number, since it uses less digits than its factorization.

3827682420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3827682420 is about 61868.2666639369. The cubic root of 3827682420 is about 1564.2708985601.

The spelling of 3827682420 in words is "three billion, eight hundred twenty-seven million, six hundred eighty-two thousand, four hundred twenty".