345250112400 has 480 divisors, whose sum is σ = 1272985190400. Its totient is φ = 88780147200.

The previous prime is 345250112359. The next prime is 345250112429. The reversal of 345250112400 is 4211052543.

345250112400 is a `hidden beast` number, since 3 + 4 + 5 + 250 + 1 + 1 + 2 + 400 = 666.

It is a super-2 number, since 2×345250112400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102781921 + ... + 102785279.

It is an arithmetic number, because the mean of its divisors is an integer number (2652052480).

Almost surely, 2^345250112400 is an apocalyptic number.

345250112400 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 345250112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636492595200).

345250112400 is an abundant number, since it is smaller than the sum of its proper divisors (927735078000).

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

345250112400 is a wasteful number, since it uses less digits than its factorization.

345250112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 345250112400 its reverse (4211052543), we get a palindrome (349461164943).

The spelling of 345250112400 in words is "three hundred forty-five billion, two hundred fifty million, one hundred twelve thousand, four hundred".