3456613563240 has 64 divisors (see below), whose sum is σ = 10374477096960. Its totient is φ = 921351491840.

The previous prime is 3456613563173. The next prime is 3456613563253. The reversal of 3456613563240 is 423653166543.

3456613563240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3456613563240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6169896 + ... + 6706775.

It is an arithmetic number, because the mean of its divisors is an integer number (162101204640).

Almost surely, 2^{3456613563240} is an apocalyptic number.

3456613563240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3456613563240 is an abundant number, since it is smaller than the sum of its proper divisors (6917863533720).

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

3456613563240 is a wasteful number, since it uses less digits than its factorization.

3456613563240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12878922 (or 12878918 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 3456613563240 in words is "three trillion, four hundred fifty-six billion, six hundred thirteen million, five hundred sixty-three thousand, two hundred forty".