354715536400 has 135 divisors (see below), whose sum is σ = 863894216439. Its totient is φ = 139966064640.

The previous prime is 354715536353. The next prime is 354715536407. The reversal of 354715536400 is 4635517453.

The square root of 354715536400 is 595580.

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 13042553616 + 341672982784 = 114204^2 + 584528^2 .

It is a super-2 number, since 2×354715536400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (354715536407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1155425047 + ... + 1155425353.

Almost surely, 2^354715536400 is an apocalyptic number.

354715536400 is the 595580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354715536400

354715536400 is an abundant number, since it is smaller than the sum of its proper divisors (509178680039).

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

354715536400 is an frugal number, since it uses more digits than its factorization.

354715536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 354715536400 in words is "three hundred fifty-four billion, seven hundred fifteen million, five hundred thirty-six thousand, four hundred".