345438535680 has 1440 divisors, whose sum is σ = 1479352982016. Its totient is φ = 75676778496.

The previous prime is 345438535633. The next prime is 345438535681. The reversal of 345438535680 is 86535834543.

345438535680 is a `hidden beast` number, since 3 + 4 + 5 + 43 + 8 + 535 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345438535681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5155799007 + ... + 5155799073.

Almost surely, 2^345438535680 is an apocalyptic number.

345438535680 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 345438535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739676491008).

345438535680 is an abundant number, since it is smaller than the sum of its proper divisors (1133914446336).

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

345438535680 is an frugal number, since it uses more digits than its factorization.

345438535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 345438535680 in words is "three hundred forty-five billion, four hundred thirty-eight million, five hundred thirty-five thousand, six hundred eighty".