345350053200 has 120 divisors (see below), whose sum is σ = 1107207893088. Its totient is φ = 92015383040.

The previous prime is 345350053159. The next prime is 345350053201. The reversal of 345350053200 is 2350053543.

It is a tau number, because it is divible by the number of its divisors (120).

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 (345350053201) 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, 1303174 + ... + 1545626.

Almost surely, 2^345350053200 is an apocalyptic number.

345350053200 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 345350053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553603946544).

345350053200 is an abundant number, since it is smaller than the sum of its proper divisors (761857839888).

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

345350053200 is a wasteful number, since it uses less digits than its factorization.

345350053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243661 (or 243650 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The spelling of 345350053200 in words is "three hundred forty-five billion, three hundred fifty million, fifty-three thousand, two hundred".