34409051712 has 168 divisors, whose sum is σ = 114400193856. Its totient is φ = 9684347904.

The previous prime is 34409051711. The next prime is 34409051713. The reversal of 34409051712 is 21715090443.

34409051712 is a `hidden beast` number, since 3 + 4 + 40 + 90 + 517 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (34409051711) and next prime (34409051713).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (34409051711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206458 + ... + 333830.

Almost surely, 2^34409051712 is an apocalyptic number.

34409051712 is a gapful number since it is divisible by the number (32) 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 34409051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57200096928).

34409051712 is an abundant number, since it is smaller than the sum of its proper divisors (79991142144).

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

34409051712 is a wasteful number, since it uses less digits than its factorization.

34409051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127465 (or 127452 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 34409051712 in words is "thirty-four billion, four hundred nine million, fifty-one thousand, seven hundred twelve".