7338023000 has 256 divisors, whose sum is σ = 21579816960. Its totient is φ = 2268864000.

The previous prime is 7338022997. The next prime is 7338023009. The reversal of 7338023000 is 3208337.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7338023009) 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, 12088697 + ... + 12089303.

It is an arithmetic number, because the mean of its divisors is an integer number (84296160).

Almost surely, 2^7338023000 is an apocalyptic number.

7338023000 is a gapful number since it is divisible by the number (70) 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 7338023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10789908480).

7338023000 is an abundant number, since it is smaller than the sum of its proper divisors (14241793960).

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

7338023000 is a wasteful number, since it uses less digits than its factorization.

7338023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 7338023000 is about 85662.2612356223. The cubic root of 7338023000 is about 1943.2396184819.

The spelling of 7338023000 in words is "seven billion, three hundred thirty-eight million, twenty-three thousand".