34213026400 has 288 divisors, whose sum is σ = 102390946560. Its totient is φ = 10901329920.

The previous prime is 34213026391. The next prime is 34213026433. The reversal of 34213026400 is 462031243.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 5636167 + ... + 5642233.

It is an arithmetic number, because the mean of its divisors is an integer number (355524120).

Almost surely, 2^34213026400 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 34213026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51195473280).

34213026400 is an abundant number, since it is smaller than the sum of its proper divisors (68177920160).

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

34213026400 is a wasteful number, since it uses less digits than its factorization.

34213026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34213026400 its reverse (462031243), we get a palindrome (34675057643).

The spelling of 34213026400 in words is "thirty-four billion, two hundred thirteen million, twenty-six thousand, four hundred".