738162432 has 216 divisors, whose sum is σ = 2500106336. Its totient is φ = 205037568.

The previous prime is 738162427. The next prime is 738162449. The reversal of 738162432 is 234261837.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 596118 + ... + 597354.

Almost surely, 2^738162432 is an apocalyptic number.

738162432 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 738162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250053168).

738162432 is an abundant number, since it is smaller than the sum of its proper divisors (1761943904).

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

738162432 is a wasteful number, since it uses less digits than its factorization.

738162432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1286 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 738162432 is about 27169.1448522032. The cubic root of 738162432 is about 903.7548608291.

The spelling of 738162432 in words is "seven hundred thirty-eight million, one hundred sixty-two thousand, four hundred thirty-two".