345391290000 has 375 divisors, whose sum is σ = 1251094297453. Its totient is φ = 91963296000.

The previous prime is 345391289981. The next prime is 345391290011. The reversal of 345391290000 is 92193543.

It is a happy number.

The square root of 345391290000 is 587700.

It is a perfect power (a square), and thus also a powerful number.

345391290000 is a `hidden beast` number, since 34 + 539 + 1 + 2 + 90 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 329003193744 + 16388096256 = 573588^2 + 128016^2 .

It is a tau number, because it is divible by the number of its divisors (375).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 528929674 + ... + 528930326.

Almost surely, 2^345391290000 is an apocalyptic number.

345391290000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345391290000 is the 587700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345391290000

345391290000 is an abundant number, since it is smaller than the sum of its proper divisors (905703007453).

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

345391290000 is an frugal number, since it uses more digits than its factorization.

345391290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 345391290000 by its sum of digits (36), we get a square (12434086440000 = 3526200²).

345391290000 divided by its sum of digits (36) gives a square (9594202500 = 97950²).

The spelling of 345391290000 in words is "three hundred forty-five billion, three hundred ninety-one million, two hundred ninety thousand".