3491821872 has 300 divisors, whose sum is σ = 12699565648. Its totient is φ = 906681600.

The previous prime is 3491821859. The next prime is 3491821873. The reversal of 3491821872 is 2781281943.

It is a happy number.

3491821872 is a `hidden beast` number, since 3 + 491 + 82 + 1 + 87 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3491821873) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1096122 + ... + 1099302.

Almost surely, 2^3491821872 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 3491821872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349782824).

3491821872 is an abundant number, since it is smaller than the sum of its proper divisors (9207743776).

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

3491821872 is a wasteful number, since it uses less digits than its factorization.

3491821872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3204 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 3491821872 is about 59091.6396117082. The cubic root of 3491821872 is about 1517.1110106720. Note that the first 3 decimals are identical.

The spelling of 3491821872 in words is "three billion, four hundred ninety-one million, eight hundred twenty-one thousand, eight hundred seventy-two".