34401114000 has 240 divisors, whose sum is σ = 131075253504. Its totient is φ = 8339616000.

The previous prime is 34401113987. The next prime is 34401114017. The reversal of 34401114000 is 41110443.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 111129 + ... + 284871.

Almost surely, 2^34401114000 is an apocalyptic number.

34401114000 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 34401114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65537626752).

34401114000 is an abundant number, since it is smaller than the sum of its proper divisors (96674139504).

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

34401114000 is a wasteful number, since it uses less digits than its factorization.

34401114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173783 (or 173764 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34401114000 its reverse (41110443), we get a palindrome (34442224443).

The spelling of 34401114000 in words is "thirty-four billion, four hundred one million, one hundred fourteen thousand".