345187040 has 192 divisors, whose sum is σ = 960180480. Its totient is φ = 115875840.

The previous prime is 345187033. The next prime is 345187069. The reversal of 345187040 is 40781543.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 345186988 and 345187006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2483291 + ... + 2483429.

It is an arithmetic number, because the mean of its divisors is an integer number (5000940).

Almost surely, 2^345187040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480090240).

345187040 is an abundant number, since it is smaller than the sum of its proper divisors (614993440).

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

345187040 is a wasteful number, since it uses less digits than its factorization.

345187040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 345187040 is about 18579.2098863219. The cubic root of 345187040 is about 701.4846313295.

The spelling of 345187040 in words is "three hundred forty-five million, one hundred eighty-seven thousand, forty".