345509738640 has 240 divisors, whose sum is σ = 1306655940096. Its totient is φ = 81057945600.

The previous prime is 345509738633. The next prime is 345509738689. The reversal of 345509738640 is 46837905543.

345509738640 is a `hidden beast` number, since 3 + 4 + 5 + 509 + 73 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×345509738640² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458109 + ... + 949148.

Almost surely, 2^345509738640 is an apocalyptic number.

345509738640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345509738640 is an abundant number, since it is smaller than the sum of its proper divisors (961146201456).

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

345509738640 is a wasteful number, since it uses less digits than its factorization.

345509738640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407318 (or 1407309 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 345509738640 in words is "three hundred forty-five billion, five hundred nine million, seven hundred thirty-eight thousand, six hundred forty".