345034152000 has 168 divisors, whose sum is σ = 1234244924952. Its totient is φ = 92009088000.

The previous prime is 345034151999. The next prime is 345034152007. The reversal of 345034152000 is 251430543.

345034152000 is a `hidden beast` number, since 3 + 4 + 503 + 4 + 152 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2415919104 + 342618232896 = 49152^2 + 585336^2 .

It is not an unprimeable number, because it can be changed into a prime (345034152007) 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, 2324071 + ... + 2468070.

Almost surely, 2^345034152000 is an apocalyptic number.

345034152000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345034152000 is an abundant number, since it is smaller than the sum of its proper divisors (889210772952).

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

345034152000 is a wasteful number, since it uses less digits than its factorization.

345034152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792174 (or 4792151 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 345034152000 its reverse (251430543), we get a palindrome (345285582543).

The spelling of 345034152000 in words is "three hundred forty-five billion, thirty-four million, one hundred fifty-two thousand".