345731040 has 288 divisors, whose sum is σ = 1294937280. Its totient is φ = 83607552.

The previous prime is 345731033. The next prime is 345731041. The reversal of 345731040 is 40137543.

345731040 is a `hidden beast` number, since 345 + 7 + 310 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 345730995 and 345731013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345731041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709677 + ... + 710163.

It is an arithmetic number, because the mean of its divisors is an integer number (4496310).

Almost surely, 2^345731040 is an apocalyptic number.

345731040 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 345731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647468640).

345731040 is an abundant number, since it is smaller than the sum of its proper divisors (949206240).

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

345731040 is a wasteful number, since it uses less digits than its factorization.

345731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 345731040 is about 18593.8441426188. The cubic root of 345731040 is about 701.8529411681.

Adding to 345731040 its reverse (40137543), we get a palindrome (385868583).

The spelling of 345731040 in words is "three hundred forty-five million, seven hundred thirty-one thousand, forty".