34012603440 has 120 divisors (see below), whose sum is σ = 114432082128. Its totient is φ = 9053637120.

The previous prime is 34012603439. The next prime is 34012603441. The reversal of 34012603440 is 4430621043.

34012603440 is a `hidden beast` number, since 3 + 4 + 0 + 12 + 603 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (34012603439) and next prime (34012603441).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (34012603441) 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, 358635 + ... + 443445.

Almost surely, 2^34012603440 is an apocalyptic number.

34012603440 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 34012603440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57216041064).

34012603440 is an abundant number, since it is smaller than the sum of its proper divisors (80419478688).

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

34012603440 is a wasteful number, since it uses less digits than its factorization.

34012603440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85387 (or 85378 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 34012603440 in words is "thirty-four billion, twelve million, six hundred three thousand, four hundred forty".