3820966464 has 112 divisors (see below), whose sum is σ = 11835847296. Its totient is φ = 1065062400.

The previous prime is 3820966463. The next prime is 3820966507. The reversal of 3820966464 is 4646690283.

3820966464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3820966463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20434 + ... + 89774.

It is an arithmetic number, because the mean of its divisors is an integer number (105677208).

Almost surely, 2^3820966464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917923648).

3820966464 is an abundant number, since it is smaller than the sum of its proper divisors (8014880832).

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

3820966464 is a wasteful number, since it uses less digits than its factorization.

3820966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69404 (or 69394 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 3820966464 is about 61813.9665771418. The cubic root of 3820966464 is about 1563.3554860779.

The spelling of 3820966464 in words is "three billion, eight hundred twenty million, nine hundred sixty-six thousand, four hundred sixty-four".