9034441920 has 1120 divisors, whose sum is σ = 40627889280. Its totient is φ = 1857945600.

The previous prime is 9034441919. The next prime is 9034441981. The reversal of 9034441920 is 291444309.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×9034441920² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89449870 + ... + 89449970.

Almost surely, 2^9034441920 is an apocalyptic number.

9034441920 is a gapful number since it is divisible by the number (90) 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 9034441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313944640).

9034441920 is an abundant number, since it is smaller than the sum of its proper divisors (31593447360).

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

9034441920 is a wasteful number, since it uses less digits than its factorization.

9034441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9034441920 is about 95049.6813250839. The cubic root of 9034441920 is about 2082.7338558623.

The spelling of 9034441920 in words is "nine billion, thirty-four million, four hundred forty-one thousand, nine hundred twenty".