3827401956 has 135 divisors (see below), whose sum is σ = 11662902867. Its totient is φ = 1091316240.

The previous prime is 3827401951. The next prime is 3827401957. The reversal of 3827401956 is 6591047283.

The square root of 3827401956 is 61866.

It is a perfect power (a square), and thus also a powerful number.

3827401956 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

3827401956 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (3827401951) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7794871 + ... + 7795361.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3827401956 = 7654803912, but 3⋅3827401956 = 11482205868 is not.

Almost surely, 2^3827401956 is an apocalyptic number.

3827401956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3827401956 is the 61866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827401956

3827401956 is an abundant number, since it is smaller than the sum of its proper divisors (7835500911).

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

3827401956 is an equidigital number, since it uses as much as digits as its factorization.

3827401956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 3827401956 is about 1564.2326915947.

The spelling of 3827401956 in words is "three billion, eight hundred twenty-seven million, four hundred one thousand, nine hundred fifty-six".