345748788000 has 3456 divisors, whose sum is σ = 1761794012160. Its totient is φ = 62447616000.

The previous prime is 345748787987. The next prime is 345748788001. The reversal of 345748788000 is 887847543.

It is a happy number.

345748788000 is a `hidden beast` number, since 3 + 457 + 48 + 78 + 80 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345748788001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11922371986 + ... + 11922372014.

It is an arithmetic number, because the mean of its divisors is an integer number (509778360).

Almost surely, 2^345748788000 is an apocalyptic number.

345748788000 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 345748788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880897006080).

345748788000 is an abundant number, since it is smaller than the sum of its proper divisors (1416045224160).

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

345748788000 is a wasteful number, since it uses less digits than its factorization.

345748788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 345748788000 in words is "three hundred forty-five billion, seven hundred forty-eight million, seven hundred eighty-eight thousand".