34023401400 has 96 divisors (see below), whose sum is σ = 105893222400. Its totient is φ = 9036720000.

The previous prime is 34023401369. The next prime is 34023401407. The reversal of 34023401400 is 410432043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023401407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37641 + ... + 263559.

It is an arithmetic number, because the mean of its divisors is an integer number (1103054400).

Almost surely, 2^34023401400 is an apocalyptic number.

34023401400 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 34023401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52946611200).

34023401400 is an abundant number, since it is smaller than the sum of its proper divisors (71869821000).

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

34023401400 is a wasteful number, since it uses less digits than its factorization.

34023401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226189 (or 226180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34023401400 its reverse (410432043), we get a palindrome (34433833443).

The spelling of 34023401400 in words is "thirty-four billion, twenty-three million, four hundred one thousand, four hundred".