738089352 has 576 divisors, whose sum is σ = 2904720000. Its totient is φ = 167650560.

The previous prime is 738089311. The next prime is 738089377. The reversal of 738089352 is 253980837.

It is a junction number, because it is equal to n+sod(n) for n = 738089298 and 738089307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38846799 + ... + 38846817.

Almost surely, 2^738089352 is an apocalyptic number.

738089352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738089352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452360000).

738089352 is an abundant number, since it is smaller than the sum of its proper divisors (2166630648).

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

738089352 is a wasteful number, since it uses less digits than its factorization.

738089352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 738089352 is about 27167.7999109240. The cubic root of 738089352 is about 903.7250351511.

The spelling of 738089352 in words is "seven hundred thirty-eight million, eighty-nine thousand, three hundred fifty-two".