3424048704 has 168 divisors, whose sum is σ = 10186854912. Its totient is φ = 1098455040.

The previous prime is 3424048699. The next prime is 3424048739. The reversal of 3424048704 is 4078404243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4160037 + ... + 4160859.

Almost surely, 2^3424048704 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 3424048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093427456).

3424048704 is an abundant number, since it is smaller than the sum of its proper divisors (6762806208).

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

3424048704 is a wasteful number, since it uses less digits than its factorization.

3424048704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 3424048704 is about 58515.3715189436. The cubic root of 3424048704 is about 1507.2315550482.

It can be divided in two parts, 34240 and 48704, that added together give a square (82944 = 288²).

The spelling of 3424048704 in words is "three billion, four hundred twenty-four million, forty-eight thousand, seven hundred four".