34343422133400 has 288 divisors, whose sum is σ = 118529058922560. Its totient is φ = 8905069393920.

The previous prime is 34343422133399. The next prime is 34343422133407. The reversal of 34343422133400 is 433122434343.

34343422133400 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 34 + 2 + 213 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343422133407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105264924 + ... + 105590676.

It is an arithmetic number, because the mean of its divisors is an integer number (411559232370).

Almost surely, 2^{34343422133400} is an apocalyptic number.

34343422133400 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 34343422133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59264529461280).

34343422133400 is an abundant number, since it is smaller than the sum of its proper divisors (84185636789160).

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

34343422133400 is a wasteful number, since it uses less digits than its factorization.

34343422133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327395 (or 327383 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34343422133400 its reverse (433122434343), we get a palindrome (34776544567743).

The spelling of 34343422133400 in words is "thirty-four trillion, three hundred forty-three billion, four hundred twenty-two million, one hundred thirty-three thousand, four hundred".