3965400384 has 224 divisors, whose sum is σ = 11780398080. Its totient is φ = 1176778240.

The previous prime is 3965400323. The next prime is 3965400389. The reversal of 3965400384 is 4830045693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965400389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15077437 + ... + 15077699.

Almost surely, 2^3965400384 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 3965400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890199040).

3965400384 is an abundant number, since it is smaller than the sum of its proper divisors (7814997696).

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

3965400384 is a wasteful number, since it uses less digits than its factorization.

3965400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3965400384 is about 62971.4251387087. The cubic root of 3965400384 is about 1582.8108358714.

The spelling of 3965400384 in words is "three billion, nine hundred sixty-five million, four hundred thousand, three hundred eighty-four".