34103014000 has 160 divisors (see below), whose sum is σ = 93061275840. Its totient is φ = 11973248000.

The previous prime is 34103013953. The next prime is 34103014013. The reversal of 34103014000 is 41030143.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611274 + ... + 664726.

It is an arithmetic number, because the mean of its divisors is an integer number (581632974).

Almost surely, 2^34103014000 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 34103014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46530637920).

34103014000 is an abundant number, since it is smaller than the sum of its proper divisors (58958261840).

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

34103014000 is a wasteful number, since it uses less digits than its factorization.

34103014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53516 (or 53500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 34103014000 its reverse (41030143), we get a palindrome (34144044143).

The spelling of 34103014000 in words is "thirty-four billion, one hundred three million, fourteen thousand".