345493512 has 384 divisors, whose sum is σ = 1256371200. Its totient is φ = 88179840.

The previous prime is 345493507. The next prime is 345493517. The reversal of 345493512 is 215394543.

345493512 is a `hidden beast` number, since 3 + 4 + 54 + 93 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (345493507) and next prime (345493517).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345493517) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11144937 + ... + 11144967.

It is an arithmetic number, because the mean of its divisors is an integer number (3271800).

Almost surely, 2^345493512 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 345493512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628185600).

345493512 is an abundant number, since it is smaller than the sum of its proper divisors (910877688).

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

345493512 is a wasteful number, since it uses less digits than its factorization.

345493512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

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

The square root of 345493512 is about 18587.4557699541. The cubic root of 345493512 is about 701.6921727297.

The spelling of 345493512 in words is "three hundred forty-five million, four hundred ninety-three thousand, five hundred twelve".