345613400 has 96 divisors (see below), whose sum is σ = 928266480. Its totient is φ = 118272000.

The previous prime is 345613393. The next prime is 345613409. The reversal of 345613400 is 4316543.

It is a super-3 number, since 3×345613400³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345613400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345613409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32780 + ... + 42020.

Almost surely, 2^345613400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345613400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464133240).

345613400 is an abundant number, since it is smaller than the sum of its proper divisors (582653080).

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

345613400 is a wasteful number, since it uses less digits than its factorization.

345613400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285 (or 9276 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 345613400 is about 18590.6804609191. The cubic root of 345613400 is about 701.7733269237.

Adding to 345613400 its reverse (4316543), we get a palindrome (349929943).

The spelling of 345613400 in words is "three hundred forty-five million, six hundred thirteen thousand, four hundred".