3992976100 has 81 divisors (see below), whose sum is σ = 8888372731. Its totient is φ = 1557001600.

The previous prime is 3992976089. The next prime is 3992976109. The reversal of 3992976100 is 16792993.

3992976100 = 1³ + 2³ + ... + 355³.

The square root of 3992976100 is 63190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 830938276 + 3162037824 = 28826^2 + 56232^2 .

It is a super-3 number, since 3×3992976100³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3992976109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44864856 + ... + 44864944.

Almost surely, 2^3992976100 is an apocalyptic number.

3992976100 is the 63190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992976100

3992976100 is an abundant number, since it is smaller than the sum of its proper divisors (4895396631).

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

3992976100 is an equidigital number, since it uses as much as digits as its factorization.

3992976100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The cubic root of 3992976100 is about 1586.4713620642.

The spelling of 3992976100 in words is "three billion, nine hundred ninety-two million, nine hundred seventy-six thousand, one hundred".