741849984 has 96 divisors (see below), whose sum is σ = 2247172200. Its totient is φ = 234261504.

The previous prime is 741849971. The next prime is 741849989. The reversal of 741849984 is 489948147.

741849984 is a `hidden beast` number, since 74 + 1 + 8 + 499 + 84 = 666.

741849984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 741849984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741849989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4942 + ... + 38834.

Almost surely, 2^741849984 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 741849984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123586100).

741849984 is an abundant number, since it is smaller than the sum of its proper divisors (1505322216).

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

741849984 is a wasteful number, since it uses less digits than its factorization.

741849984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33932 (or 33917 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 741849984 is about 27236.9231742501. The cubic root of 741849984 is about 905.2572893607.

The spelling of 741849984 in words is "seven hundred forty-one million, eight hundred forty-nine thousand, nine hundred eighty-four".