3422013504 has 448 divisors, whose sum is σ = 12129772032. Its totient is φ = 825753600.

The previous prime is 3422013493. The next prime is 3422013509. The reversal of 3422013504 is 4053102243.

3422013504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (3422013509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12177844 + ... + 12178124.

It is an arithmetic number, because the mean of its divisors is an integer number (27075384).

Almost surely, 2^3422013504 is an apocalyptic number.

3422013504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064886016).

3422013504 is an abundant number, since it is smaller than the sum of its proper divisors (8707758528).

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

3422013504 is a wasteful number, since it uses less digits than its factorization.

3422013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3422013504 is about 58497.9786317442. The cubic root of 3422013504 is about 1506.9328710546.

Adding to 3422013504 its reverse (4053102243), we get a palindrome (7475115747).

The spelling of 3422013504 in words is "three billion, four hundred twenty-two million, thirteen thousand, five hundred four".