345385036800 has 1056 divisors, whose sum is σ = 1332089344000. Its totient is φ = 88683724800.

The previous prime is 345385036757. The next prime is 345385036811. The reversal of 345385036800 is 8630583543.

345385036800 is a `hidden beast` number, since 3 + 4 + 538 + 5 + 0 + 36 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1735603101 + ... + 1735603299.

Almost surely, 2^345385036800 is an apocalyptic number.

345385036800 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 345385036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666044672000).

345385036800 is an abundant number, since it is smaller than the sum of its proper divisors (986704307200).

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

345385036800 is an equidigital number, since it uses as much as digits as its factorization.

345385036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 240 counting only the distinct ones).

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

The spelling of 345385036800 in words is "three hundred forty-five billion, three hundred eighty-five million, thirty-six thousand, eight hundred".