3400223211450 has 288 divisors, whose sum is σ = 10125843279552. Its totient is φ = 812681856000.

The previous prime is 3400223211443. The next prime is 3400223211487. The reversal of 3400223211450 is 541123220043.

3400223211450 is a `hidden beast` number, since 3 + 400 + 2 + 2 + 3 + 211 + 45 + 0 = 666.

It is a super-2 number, since 2×3400223211450² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50574757 + ... + 50641943.

It is an arithmetic number, because the mean of its divisors is an integer number (35159178054).

Almost surely, 2^{3400223211450} is an apocalyptic number.

3400223211450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400223211450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062921639776).

3400223211450 is an abundant number, since it is smaller than the sum of its proper divisors (6725620068102).

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

3400223211450 is a wasteful number, since it uses less digits than its factorization.

3400223211450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67470 (or 67462 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3400223211450 its reverse (541123220043), we get a palindrome (3941346431493).

The spelling of 3400223211450 in words is "three trillion, four hundred billion, two hundred twenty-three million, two hundred eleven thousand, four hundred fifty".