345585921990 has 64 divisors (see below), whose sum is σ = 835552074240. Its totient is φ = 91474329600.

The previous prime is 345585921959. The next prime is 345585921997. The reversal of 345585921990 is 99129585543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345585921997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5891526 + ... + 5949894.

It is an arithmetic number, because the mean of its divisors is an integer number (13055501160).

Almost surely, 2^345585921990 is an apocalyptic number.

345585921990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345585921990 is an abundant number, since it is smaller than the sum of its proper divisors (489966152250).

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

345585921990 is a wasteful number, since it uses less digits than its factorization.

345585921990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59837.

The product of its (nonzero) digits is 17496000, while the sum is 60.

The spelling of 345585921990 in words is "three hundred forty-five billion, five hundred eighty-five million, nine hundred twenty-one thousand, nine hundred ninety".