345014640 has 200 divisors, whose sum is σ = 1231528320. Its totient is φ = 89455104.

The previous prime is 345014633. The next prime is 345014669. The reversal of 345014640 is 46410543.

345014640 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 14 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239041 + ... + 240479.

Almost surely, 2^345014640 is an apocalyptic number.

345014640 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 345014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615764160).

345014640 is an abundant number, since it is smaller than the sum of its proper divisors (886513680).

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

345014640 is a wasteful number, since it uses less digits than its factorization.

345014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 345014640 is about 18574.5697123783. The cubic root of 345014640 is about 701.3678288664.

The spelling of 345014640 in words is "three hundred forty-five million, fourteen thousand, six hundred forty".