345366927360 has 2304 divisors, whose sum is σ = 1609331068800. Its totient is φ = 69561483264.

The previous prime is 345366927343. The next prime is 345366927361. The reversal of 345366927360 is 63729663543.

It is a happy number.

345366927360 is a `hidden beast` number, since 3 + 4 + 5 + 366 + 9 + 273 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 345366927297 and 345366927306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345366927361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6516357094 + ... + 6516357146.

Almost surely, 2^345366927360 is an apocalyptic number.

345366927360 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 345366927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804665534400).

345366927360 is an abundant number, since it is smaller than the sum of its proper divisors (1263964141440).

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

345366927360 is a wasteful number, since it uses less digits than its factorization.

345366927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 345366927360 in words is "three hundred forty-five billion, three hundred sixty-six million, nine hundred twenty-seven thousand, three hundred sixty".