345803828675760 has 720 divisors, whose sum is σ = 1437319814733504. Its totient is φ = 72953502695424.

The previous prime is 345803828675737. The next prime is 345803828675813. The reversal of 345803828675760 is 67576828308543.

345803828675760 is a `hidden beast` number, since 3 + 4 + 5 + 80 + 382 + 8 + 67 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15039514824 + ... + 15039537816.

Almost surely, 2^{345803828675760} is an apocalyptic number.

345803828675760 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 345803828675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718659907366752).

345803828675760 is an abundant number, since it is smaller than the sum of its proper divisors (1091515986057744).

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

345803828675760 is a wasteful number, since it uses less digits than its factorization.

345803828675760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40702 (or 40680 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 345803828675760 in words is "three hundred forty-five trillion, eight hundred three billion, eight hundred twenty-eight million, six hundred seventy-five thousand, seven hundred sixty".