3424814976 has 96 divisors (see below), whose sum is σ = 9999498600. Its totient is φ = 1037808640.

The previous prime is 3424814971. The next prime is 3424815089. The reversal of 3424814976 is 6794184243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424814971) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9610 + ... + 83318.

Almost surely, 2^3424814976 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 3424814976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999749300).

3424814976 is an abundant number, since it is smaller than the sum of its proper divisors (6574683624).

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

3424814976 is a wasteful number, since it uses less digits than its factorization.

3424814976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73748 (or 73725 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 3424814976 is about 58521.9187655360. The cubic root of 3424814976 is about 1507.3439817193.

The spelling of 3424814976 in words is "three billion, four hundred twenty-four million, eight hundred fourteen thousand, nine hundred seventy-six".