345196800000 has 864 divisors, whose sum is σ = 1344929465880. Its totient is φ = 84787200000.

The previous prime is 345196799993. The next prime is 345196800001. The reversal of 345196800000 is 8691543.

It can be written as a sum of positive squares in 12 ways, for example, as 255081563136 + 90115236864 = 505056^2 + 300192^2 .

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

It is not an unprimeable number, because it can be changed into a prime (345196800001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 748799770 + ... + 748800230.

Almost surely, 2^345196800000 is an apocalyptic number.

345196800000 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 345196800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672464732940).

345196800000 is an abundant number, since it is smaller than the sum of its proper divisors (999732665880).

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

345196800000 is an equidigital number, since it uses as much as digits as its factorization.

345196800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 345196800000 in words is "three hundred forty-five billion, one hundred ninety-six million, eight hundred thousand".