34420014720 has 1536 divisors, whose sum is σ = 158233824000. Its totient is φ = 7004454912.

The previous prime is 34420014719. The next prime is 34420014781. The reversal of 34420014720 is 2741002443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 583390051 + ... + 583390109.

Almost surely, 2^34420014720 is an apocalyptic number.

34420014720 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 34420014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79116912000).

34420014720 is an abundant number, since it is smaller than the sum of its proper divisors (123813809280).

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

34420014720 is a wasteful number, since it uses less digits than its factorization.

34420014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 34420014720 in words is "thirty-four billion, four hundred twenty million, fourteen thousand, seven hundred twenty".