3992220400 has 120 divisors (see below), whose sum is σ = 11438267904. Its totient is φ = 1309228800.

The previous prime is 3992220371. The next prime is 3992220431. The reversal of 3992220400 is 40222993.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33405 + ... + 95395.

Almost surely, 2^3992220400 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 3992220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719133952).

3992220400 is an abundant number, since it is smaller than the sum of its proper divisors (7446047504).

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

3992220400 is a wasteful number, since it uses less digits than its factorization.

3992220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62039 (or 62028 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3992220400 is about 63184.0201316757. The cubic root of 3992220400 is about 1586.3712719710.

The spelling of 3992220400 in words is "three billion, nine hundred ninety-two million, two hundred twenty thousand, four hundred".