345147600 has 240 divisors, whose sum is σ = 1338450048. Its totient is φ = 74219520.

The previous prime is 345147599. The next prime is 345147601. The reversal of 345147600 is 6741543.

345147600 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (345147599) and next prime (345147601).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345147601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141592 + ... + 144008.

Almost surely, 2^345147600 is an apocalyptic number.

345147600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345147600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669225024).

345147600 is an abundant number, since it is smaller than the sum of its proper divisors (993302448).

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

345147600 is a wasteful number, since it uses less digits than its factorization.

345147600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 345147600 is about 18578.1484545689. The cubic root of 345147600 is about 701.4579138262.

The spelling of 345147600 in words is "three hundred forty-five million, one hundred forty-seven thousand, six hundred".