345850383060 has 1152 divisors, whose sum is σ = 1452971520000. Its totient is φ = 64437534720.

The previous prime is 345850383049. The next prime is 345850383089. The reversal of 345850383060 is 60383058543.

345850383060 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 503 + 83 + 0 + 60 = 666.

It is a super-2 number, since 2×345850383060² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 345850382997 and 345850383015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 693086691 + ... + 693087189.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260000).

Almost surely, 2^345850383060 is an apocalyptic number.

345850383060 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 345850383060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760000).

345850383060 is an abundant number, since it is smaller than the sum of its proper divisors (1107121136940).

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

345850383060 is a wasteful number, since it uses less digits than its factorization.

345850383060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 345850383060 in words is "three hundred forty-five billion, eight hundred fifty million, three hundred eighty-three thousand, sixty".