7382348736 has 224 divisors, whose sum is σ = 23886761472. Its totient is φ = 1964113920.

The previous prime is 7382348731. The next prime is 7382348737. The reversal of 7382348736 is 6378432837.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7382348731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2214591 + ... + 2217921.

It is an arithmetic number, because the mean of its divisors is an integer number (106637328).

Almost surely, 2^7382348736 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 7382348736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943380736).

7382348736 is an abundant number, since it is smaller than the sum of its proper divisors (16504412736).

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

7382348736 is a wasteful number, since it uses less digits than its factorization.

7382348736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3457 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The square root of 7382348736 is about 85920.5955286624. The cubic root of 7382348736 is about 1947.1445154152.

The spelling of 7382348736 in words is "seven billion, three hundred eighty-two million, three hundred forty-eight thousand, seven hundred thirty-six".