34420033311400 has 192 divisors, whose sum is σ = 92027720116800. Its totient is φ = 11840693760000.

The previous prime is 34420033311371. The next prime is 34420033311421. The reversal of 34420033311400 is 411333002443.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28714464 + ... + 29889136.

It is an arithmetic number, because the mean of its divisors is an integer number (479311042275).

Almost surely, 2^{34420033311400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34420033311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46013860058400).

34420033311400 is an abundant number, since it is smaller than the sum of its proper divisors (57607686805400).

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

34420033311400 is a wasteful number, since it uses less digits than its factorization.

34420033311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175420 (or 1175411 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 34420033311400 its reverse (411333002443), we get a palindrome (34831366313843).

The spelling of 34420033311400 in words is "thirty-four trillion, four hundred twenty billion, thirty-three million, three hundred eleven thousand, four hundred".