34406217720 has 320 divisors, whose sum is σ = 139939462080. Its totient is φ = 7401590784.

The previous prime is 34406217719. The next prime is 34406217751. The reversal of 34406217720 is 2771260443.

34406217720 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 621 + 7 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 340942 + ... + 430178.

It is an arithmetic number, because the mean of its divisors is an integer number (437310819).

Almost surely, 2^34406217720 is an apocalyptic number.

34406217720 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 34406217720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69969731040).

34406217720 is an abundant number, since it is smaller than the sum of its proper divisors (105533244360).

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

34406217720 is a wasteful number, since it uses less digits than its factorization.

34406217720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89284 (or 89271 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 34406217720 in words is "thirty-four billion, four hundred six million, two hundred seventeen thousand, seven hundred twenty".