345965040 has 80 divisors (see below), whose sum is σ = 1191664800. Its totient is φ = 92256768.

The previous prime is 345965033. The next prime is 345965051. The reversal of 345965040 is 40569543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345964986 and 345965004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77925 + ... + 82244.

It is an arithmetic number, because the mean of its divisors is an integer number (14895810).

Almost surely, 2^345965040 is an apocalyptic number.

345965040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345965040 is an abundant number, since it is smaller than the sum of its proper divisors (845699760).

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

345965040 is a wasteful number, since it uses less digits than its factorization.

345965040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160191 (or 160179 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 345965040 is about 18600.1354833775. The cubic root of 345965040 is about 702.0112497284.

The spelling of 345965040 in words is "three hundred forty-five million, nine hundred sixty-five thousand, forty".