7338000384 has 544 divisors, whose sum is σ = 26423913600. Its totient is φ = 1981808640.

The previous prime is 7338000347. The next prime is 7338000391. The reversal of 7338000384 is 4830008337.

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 31 ways as a sum of consecutive naturals, for example, 253034482 + ... + 253034510.

Almost surely, 2^7338000384 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 7338000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13211956800).

7338000384 is an abundant number, since it is smaller than the sum of its proper divisors (19085913216).

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

7338000384 is a wasteful number, since it uses less digits than its factorization.

7338000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7338000384 is about 85662.1292287321. The cubic root of 7338000384 is about 1943.2376221062.

The spelling of 7338000384 in words is "seven billion, three hundred thirty-eight million, three hundred eighty-four", and thus it is an aban number.