345945600000 has 2496 divisors, whose sum is σ = 1719999912960. Its totient is φ = 66355200000.

The previous prime is 345945599981. The next prime is 345945600019. The reversal of 345945600000 is 6549543.

It is a happy number.

345945600000 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 45 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345945599981) and next prime (345945600019).

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26611199994 + ... + 26611200006.

Almost surely, 2^345945600000 is an apocalyptic number.

345945600000 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 345945600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859999956480).

345945600000 is an abundant number, since it is smaller than the sum of its proper divisors (1374054312960).

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

345945600000 is an equidigital number, since it uses as much as digits as its factorization.

345945600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 345945600000 in words is "three hundred forty-five billion, nine hundred forty-five million, six hundred thousand".