3965822400 has 168 divisors, whose sum is σ = 13288792320. Its totient is φ = 1034992640.

The previous prime is 3965822389. The next prime is 3965822429. The reversal of 3965822400 is 42285693.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216811 + ... + 234389.

Almost surely, 2^3965822400 is an apocalyptic number.

3965822400 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 3965822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644396160).

3965822400 is an abundant number, since it is smaller than the sum of its proper divisors (9322969920).

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

3965822400 is a wasteful number, since it uses less digits than its factorization.

3965822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17651 (or 17636 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3965822400 is about 62974.7759027374. The cubic root of 3965822400 is about 1582.8669838631.

The spelling of 3965822400 in words is "three billion, nine hundred sixty-five million, eight hundred twenty-two thousand, four hundred".