3992166900 has 54 divisors (see below), whose sum is σ = 12513228182. Its totient is φ = 1064577600.

The previous prime is 3992166881. The next prime is 3992166901. The reversal of 3992166900 is 96612993.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 444535056 + 3547631844 = 21084^2 + 59562^2 .

It is a super-2 number, since 2×3992166900² = 31874793114911220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992166901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2216971 + ... + 2218770.

Almost surely, 2^3992166900 is an apocalyptic number.

3992166900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3992166900 is an abundant number, since it is smaller than the sum of its proper divisors (8521061282).

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

3992166900 is a wasteful number, since it uses less digits than its factorization.

3992166900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435761 (or 4435751 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 3992166900 is about 63183.5967637171. The cubic root of 3992166900 is about 1586.3641855852.

The spelling of 3992166900 in words is "three billion, nine hundred ninety-two million, one hundred sixty-six thousand, nine hundred".