3422967072 has 96 divisors (see below), whose sum is σ = 10360006272. Its totient is φ = 969314304.

The previous prime is 3422967043. The next prime is 3422967073. The reversal of 3422967072 is 2707692243.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (3422967073) 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 15 ways as a sum of consecutive naturals, for example, 53398 + ... + 98474.

It is an arithmetic number, because the mean of its divisors is an integer number (107916732).

Almost surely, 2^3422967072 is an apocalyptic number.

3422967072 is a gapful number since it is divisible by the number (32) 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 3422967072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180003136).

3422967072 is an abundant number, since it is smaller than the sum of its proper divisors (6937039200).

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

3422967072 is a wasteful number, since it uses less digits than its factorization.

3422967072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45210 (or 45202 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 3422967072 is about 58506.1284994999. The cubic root of 3422967072 is about 1507.0728305171.

The spelling of 3422967072 in words is "three billion, four hundred twenty-two million, nine hundred sixty-seven thousand, seventy-two".