738806400 has 384 divisors, whose sum is σ = 2868566400. Its totient is φ = 185057280.

The previous prime is 738806377. The next prime is 738806413. The reversal of 738806400 is 4608837.

738806400 is a `hidden beast` number, since 7 + 3 + 8 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1468549 + ... + 1469051.

It is an arithmetic number, because the mean of its divisors is an integer number (7470225).

Almost surely, 2^738806400 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 738806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434283200).

738806400 is an abundant number, since it is smaller than the sum of its proper divisors (2129760000).

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

738806400 is a wasteful number, since it uses less digits than its factorization.

738806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 738806400 is about 27180.9933593311. The cubic root of 738806400 is about 904.0175943530.

The spelling of 738806400 in words is "seven hundred thirty-eight million, eight hundred six thousand, four hundred".