3976225920 has 384 divisors, whose sum is σ = 14284998000. Its totient is φ = 1018429440.

The previous prime is 3976225909. The next prime is 3976225927. The reversal of 3976225920 is 295226793.

It is a happy number.

3976225920 is a `hidden beast` number, since 39 + 7 + 6 + 22 + 592 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49449024 + 3926776896 = 7032^2 + 62664^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3976225927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26686006 + ... + 26686154.

Almost surely, 2^3976225920 is an apocalyptic number.

3976225920 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 3976225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142499000).

3976225920 is an abundant number, since it is smaller than the sum of its proper divisors (10308772080).

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

3976225920 is a wasteful number, since it uses less digits than its factorization.

3976225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3976225920 is about 63057.3224931094. The cubic root of 3976225920 is about 1584.2498840546.

The spelling of 3976225920 in words is "three billion, nine hundred seventy-six million, two hundred twenty-five thousand, nine hundred twenty".