738035628100 has 27 divisors (see below), whose sum is σ = 1601555955447. Its totient is φ = 295210814880.

The previous prime is 738035628097. The next prime is 738035628107. The reversal of 738035628100 is 1826530837.

The square root of 738035628100 is 859090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 142471522116 + 595564105984 = 377454^2 + 771728^2 .

It is a super-2 number, since 2×738035628100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (738035628107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8547946 + ... + 8633854.

Almost surely, 2^738035628100 is an apocalyptic number.

738035628100 is the 859090-th square number.

It is an amenable number.

738035628100 is an abundant number, since it is smaller than the sum of its proper divisors (863520327347).

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

738035628100 is an frugal number, since it uses more digits than its factorization.

738035628100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171832 (or 85916 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 738035628100 in words is "seven hundred thirty-eight billion, thirty-five million, six hundred twenty-eight thousand, one hundred".