3353977872 has 180 divisors, whose sum is σ = 11561671836. Its totient is φ = 901877760.

The previous prime is 3353977867. The next prime is 3353977883. The reversal of 3353977872 is 2787793533.

3353977872 is a `hidden beast` number, since 33 + 539 + 7 + 7 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1701067536 + 1652910336 = 41244^2 + 40656^2 .

It is a super-2 number, since 2×3353977872² = 22498335131731296768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105972 + ... + 133932.

Almost surely, 2^3353977872 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 3353977872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780835918).

3353977872 is an abundant number, since it is smaller than the sum of its proper divisors (8207693964).

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

3353977872 is a wasteful number, since it uses less digits than its factorization.

3353977872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28006 (or 27990 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The square root of 3353977872 is about 57913.5378991821. The cubic root of 3353977872 is about 1496.8791219166.

The spelling of 3353977872 in words is "three billion, three hundred fifty-three million, nine hundred seventy-seven thousand, eight hundred seventy-two".