3441976384 has 168 divisors, whose sum is σ = 8754209568. Its totient is φ = 1327656960.

The previous prime is 3441976367. The next prime is 3441976453. The reversal of 3441976384 is 4836791443.

It is a super-3 number, since 3×3441976384³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3897607 + ... + 3898489.

Almost surely, 2^3441976384 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 3441976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377104784).

3441976384 is an abundant number, since it is smaller than the sum of its proper divisors (5312233184).

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

3441976384 is a wasteful number, since it uses less digits than its factorization.

3441976384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1016 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

The square root of 3441976384 is about 58668.3593089154. The cubic root of 3441976384 is about 1509.8575050834.

The spelling of 3441976384 in words is "three billion, four hundred forty-one million, nine hundred seventy-six thousand, three hundred eighty-four".