738249984 has 216 divisors, whose sum is σ = 2278814720. Its totient is φ = 235726848.

The previous prime is 738249923. The next prime is 738249991. The reversal of 738249984 is 489942837.

738249984 is a `hidden beast` number, since 73 + 8 + 2 + 499 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 738249984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5812929 + ... + 5813055.

Almost surely, 2^738249984 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 738249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139407360).

738249984 is an abundant number, since it is smaller than the sum of its proper divisors (1540564736).

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

738249984 is a wasteful number, since it uses less digits than its factorization.

738249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 161 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 738249984 is about 27170.7560439528. The cubic root of 738249984 is about 903.7905902811.

The spelling of 738249984 in words is "seven hundred thirty-eight million, two hundred forty-nine thousand, nine hundred eighty-four".