345132750400 has 189 divisors, whose sum is σ = 897452705091. Its totient is φ = 130617953280.

The previous prime is 345132750397. The next prime is 345132750407. The reversal of 345132750400 is 4057231543.

The square root of 345132750400 is 587480.

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 133856466496 + 211276283904 = 365864^2 + 459648^2 .

It is a super-3 number, since 3×345132750400³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345132750407) 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, 446484414 + ... + 446485186.

Almost surely, 2^345132750400 is an apocalyptic number.

345132750400 is the 587480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345132750400

345132750400 is an abundant number, since it is smaller than the sum of its proper divisors (552319954691).

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

345132750400 is an frugal number, since it uses more digits than its factorization.

345132750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

Adding to 345132750400 its reverse (4057231543), we get a palindrome (349189981943).

The spelling of 345132750400 in words is "three hundred forty-five billion, one hundred thirty-two million, seven hundred fifty thousand, four hundred".