3442038072 has 192 divisors, whose sum is σ = 10008835200. Its totient is φ = 977518080.

The previous prime is 3442038053. The next prime is 3442038073. The reversal of 3442038072 is 2708302443.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442038073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8214679 + ... + 8215097.

It is an arithmetic number, because the mean of its divisors is an integer number (52129350).

Almost surely, 2^3442038072 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 3442038072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004417600).

3442038072 is an abundant number, since it is smaller than the sum of its proper divisors (6566797128).

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

3442038072 is a wasteful number, since it uses less digits than its factorization.

3442038072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 3442038072 is about 58668.8850413914. The cubic root of 3442038072 is about 1509.8665250498.

The spelling of 3442038072 in words is "three billion, four hundred forty-two million, thirty-eight thousand, seventy-two".