345146400 has 432 divisors, whose sum is σ = 1360850400. Its totient is φ = 84188160.

The previous prime is 345146387. The next prime is 345146437. The reversal of 345146400 is 4641543.

345146400 is a `hidden beast` number, since 3 + 4 + 5 + 14 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11901586 + ... + 11901614.

Almost surely, 2^345146400 is an apocalyptic number.

345146400 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 345146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680425200).

345146400 is an abundant number, since it is smaller than the sum of its proper divisors (1015704000).

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

345146400 is a wasteful number, since it uses less digits than its factorization.

345146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 345146400 is about 18578.1161585345. The cubic root of 345146400 is about 701.4571008885.

Adding to 345146400 its reverse (4641543), we get a palindrome (349787943).

The spelling of 345146400 in words is "three hundred forty-five million, one hundred forty-six thousand, four hundred".