336504408100 has 81 divisors (see below), whose sum is σ = 849535784433. Its totient is φ = 115359017760.

The previous prime is 336504408089. The next prime is 336504408109. The reversal of 336504408100 is 1804405633.

It is a happy number.

The square root of 336504408100 is 580090.

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

It can be written as a sum of positive squares in only one way, i.e., 121141586916 + 215362821184 = 348054^2 + 464072^2 .

It is a super-2 number, since 2×336504408100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336504408109) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 40602157 + ... + 40610443.

Almost surely, 2^336504408100 is an apocalyptic number.

336504408100 is the 580090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336504408100

336504408100 is an abundant number, since it is smaller than the sum of its proper divisors (513031376333).

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

336504408100 is an frugal number, since it uses more digits than its factorization.

336504408100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16602 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 336504408100 in words is "three hundred thirty-six billion, five hundred four million, four hundred eight thousand, one hundred".