4345345200 has 120 divisors (see below), whose sum is σ = 15908132608. Its totient is φ = 993219840.

The previous prime is 4345345159. The next prime is 4345345211. The reversal of 4345345200 is 25435434.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250252 + ... + 267051.

Almost surely, 2^4345345200 is an apocalyptic number.

4345345200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4345345200 is an abundant number, since it is smaller than the sum of its proper divisors (11562787408).

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

4345345200 is a wasteful number, since it uses less digits than its factorization.

4345345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517331 (or 517320 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 4345345200 is about 65919.2323984435. The cubic root of 4345345200 is about 1631.8294287802.

The spelling of 4345345200 in words is "four billion, three hundred forty-five million, three hundred forty-five thousand, two hundred".