345738240 has 352 divisors, whose sum is σ = 1279293120. Its totient is φ = 88473600.

The previous prime is 345738233. The next prime is 345738311. The reversal of 345738240 is 42837543.

It is a happy number.

345738240 is a `hidden beast` number, since 3 + 4 + 573 + 82 + 4 + 0 = 666.

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 = 345738195 and 345738204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5667810 + ... + 5667870.

Almost surely, 2^345738240 is an apocalyptic number.

345738240 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 345738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639646560).

345738240 is an abundant number, since it is smaller than the sum of its proper divisors (933554880).

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

345738240 is a wasteful number, since it uses less digits than its factorization.

345738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 345738240 is about 18594.0377540759. The cubic root of 345738240 is about 701.8578132657.

The spelling of 345738240 in words is "three hundred forty-five million, seven hundred thirty-eight thousand, two hundred forty".