34178493440 has 352 divisors, whose sum is σ = 101985797760. Its totient is φ = 10701766656.

The previous prime is 34178493413. The next prime is 34178493443. The reversal of 34178493440 is 4439487143.

It is not an unprimeable number, because it can be changed into a prime (34178493443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50784944 + ... + 50785616.

It is an arithmetic number, because the mean of its divisors is an integer number (289732380).

Almost surely, 2^34178493440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34178493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50992898880).

34178493440 is an abundant number, since it is smaller than the sum of its proper divisors (67807304320).

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

34178493440 is a wasteful number, since it uses less digits than its factorization.

34178493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 34178493440 in words is "thirty-four billion, one hundred seventy-eight million, four hundred ninety-three thousand, four hundred forty".