34782230340 has 144 divisors (see below), whose sum is σ = 123951312576. Its totient is φ = 7783430400.

The previous prime is 34782230267. The next prime is 34782230369. The reversal of 34782230340 is 4303228743.

34782230340 is a `hidden beast` number, since 3 + 4 + 7 + 82 + 230 + 340 = 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 = 34782230295 and 34782230304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649906 + ... + 701385.

It is an arithmetic number, because the mean of its divisors is an integer number (860773004).

Almost surely, 2^34782230340 is an apocalyptic number.

34782230340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34782230340 is an abundant number, since it is smaller than the sum of its proper divisors (89169082236).

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

34782230340 is a wasteful number, since it uses less digits than its factorization.

34782230340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351330 (or 1351325 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 34782230340 in words is "thirty-four billion, seven hundred eighty-two million, two hundred thirty thousand, three hundred forty".