34014513450 has 96 divisors (see below), whose sum is σ = 88850831040. Its totient is φ = 8587814400.

The previous prime is 34014513433. The next prime is 34014513451. The reversal of 34014513450 is 5431541043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34014513451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6771940 + ... + 6776960.

It is an arithmetic number, because the mean of its divisors is an integer number (925529490).

Almost surely, 2^34014513450 is an apocalyptic number.

34014513450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014513450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44425415520).

34014513450 is an abundant number, since it is smaller than the sum of its proper divisors (54836317590).

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

34014513450 is a wasteful number, since it uses less digits than its factorization.

34014513450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 34014513450 in words is "thirty-four billion, fourteen million, five hundred thirteen thousand, four hundred fifty".