338735640100 has 405 divisors, whose sum is σ = 899840736585. Its totient is φ = 110628460800.

The previous prime is 338735640073. The next prime is 338735640101. The reversal of 338735640100 is 1046537833.

The square root of 338735640100 is 582010.

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

It can be written as a sum of positive squares in 13 ways, for example, as 195482473956 + 143253166144 = 442134^2 + 378488^2 .

It is a super-2 number, since 2×338735640100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338735640101) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9155017282 + ... + 9155017318.

Almost surely, 2^338735640100 is an apocalyptic number.

338735640100 is the 582010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338735640100

338735640100 is an abundant number, since it is smaller than the sum of its proper divisors (561105096485).

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

338735640100 is a wasteful number, since it uses less digits than its factorization.

338735640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 338735640100 in words is "three hundred thirty-eight billion, seven hundred thirty-five million, six hundred forty thousand, one hundred".