345476640 has 96 divisors (see below), whose sum is σ = 1100615040. Its totient is φ = 91080704.

The previous prime is 345476603. The next prime is 345476641. The reversal of 345476640 is 46674543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (345476641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38677 + ... + 46763.

It is an arithmetic number, because the mean of its divisors is an integer number (11464740).

Almost surely, 2^345476640 is an apocalyptic number.

345476640 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 345476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550307520).

345476640 is an abundant number, since it is smaller than the sum of its proper divisors (755138400).

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

345476640 is a wasteful number, since it uses less digits than its factorization.

345476640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 345476640 is about 18587.0019099370. The cubic root of 345476640 is about 701.6807502836.

The spelling of 345476640 in words is "three hundred forty-five million, four hundred seventy-six thousand, six hundred forty".