34026414480 has 240 divisors, whose sum is σ = 120446576640. Its totient is φ = 8584704000.

The previous prime is 34026414469. The next prime is 34026414503. The reversal of 34026414480 is 8441462043.

34026414480 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 641 + 4 + 4 + 8 + 0 = 666.

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 (36).

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, 15744600 + ... + 15746760.

It is an arithmetic number, because the mean of its divisors is an integer number (501860736).

Almost surely, 2^34026414480 is an apocalyptic number.

34026414480 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 34026414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60223288320).

34026414480 is an abundant number, since it is smaller than the sum of its proper divisors (86420162160).

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

34026414480 is a wasteful number, since it uses less digits than its factorization.

34026414480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 34026414480 in words is "thirty-four billion, twenty-six million, four hundred fourteen thousand, four hundred eighty".