345626038800 has 480 divisors, whose sum is σ = 1411461446400. Its totient is φ = 78688419840.

The previous prime is 345626038799. The next prime is 345626038861. The reversal of 345626038800 is 8830626543.

It is a happy number.

345626038800 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 260 + 388 + 0 + 0 = 666.

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

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, 19420306 + ... + 19438094.

It is an arithmetic number, because the mean of its divisors is an integer number (2940544680).

Almost surely, 2^345626038800 is an apocalyptic number.

345626038800 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 345626038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705730723200).

345626038800 is an abundant number, since it is smaller than the sum of its proper divisors (1065835407600).

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

345626038800 is a wasteful number, since it uses less digits than its factorization.

345626038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18080 (or 18063 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 345626038800 in words is "three hundred forty-five billion, six hundred twenty-six million, thirty-eight thousand, eight hundred".