3424401024 has 128 divisors (see below), whose sum is σ = 10035576000. Its totient is φ = 1025925120.

The previous prime is 3424401017. The next prime is 3424401041. The reversal of 3424401024 is 4201044243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3424400985 and 3424401003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371382 + ... + 380490.

Almost surely, 2^3424401024 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 3424401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017788000).

3424401024 is an abundant number, since it is smaller than the sum of its proper divisors (6611174976).

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

3424401024 is a wasteful number, since it uses less digits than its factorization.

3424401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3424401024 is about 58518.3819325176. The cubic root of 3424401024 is about 1507.2832491735.

Adding to 3424401024 its reverse (4201044243), we get a palindrome (7625445267).

The spelling of 3424401024 in words is "three billion, four hundred twenty-four million, four hundred one thousand, twenty-four".