345667642145280 has 7680 divisors, whose sum is σ = 1707997081190400. Its totient is φ = 64930675949568.

The previous prime is 345667642145249. The next prime is 345667642145311. The reversal of 345667642145280 is 82541246766543.

345667642145280 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 67 + 6 + 42 + 1 + 4 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345667642145249) and next prime (345667642145311).

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×345667642145280² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2201704726962 + ... + 2201704727118.

It is an arithmetic number, because the mean of its divisors is an integer number (222395453280).

Almost surely, 2^{345667642145280} is an apocalyptic number.

345667642145280 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 345667642145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853998540595200).

345667642145280 is an abundant number, since it is smaller than the sum of its proper divisors (1362329439045120).

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

345667642145280 is a wasteful number, since it uses less digits than its factorization.

345667642145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 345667642145280 in words is "three hundred forty-five trillion, six hundred sixty-seven billion, six hundred forty-two million, one hundred forty-five thousand, two hundred eighty".