7341984000 has 864 divisors, whose sum is σ = 29771056224. Its totient is φ = 1725235200.

The previous prime is 7341983981. The next prime is 7341984019. The reversal of 7341984000 is 4891437.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7341983981) and next prime (7341984019).

It can be written as a sum of positive squares in 16 ways, for example, as 4155607296 + 3186376704 = 64464^2 + 56448^2 .

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 95 ways as a sum of consecutive naturals, for example, 138527974 + ... + 138528026.

It is an arithmetic number, because the mean of its divisors is an integer number (34457241).

Almost surely, 2^7341984000 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 7341984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885528112).

7341984000 is an abundant number, since it is smaller than the sum of its proper divisors (22429072224).

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

7341984000 is a wasteful number, since it uses less digits than its factorization.

7341984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7341984000 is about 85685.3779824773. The cubic root of 7341984000 is about 1943.5892034491.

The spelling of 7341984000 in words is "seven billion, three hundred forty-one million, nine hundred eighty-four thousand".