345026582400 has 192 divisors, whose sum is σ = 1137080369520. Its totient is φ = 91954544640.

The previous prime is 345026582399. The next prime is 345026582419. The reversal of 345026582400 is 4285620543.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18547504 + ... + 18566096.

Almost surely, 2^345026582400 is an apocalyptic number.

345026582400 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 345026582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568540184760).

345026582400 is an abundant number, since it is smaller than the sum of its proper divisors (792053787120).

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

345026582400 is a wasteful number, since it uses less digits than its factorization.

345026582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20553 (or 20536 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 345026582400 in words is "three hundred forty-five billion, twenty-six million, five hundred eighty-two thousand, four hundred".