34414179840 has 480 divisors, whose sum is σ = 129335222016. Its totient is φ = 8422686720.

The previous prime is 34414179827. The next prime is 34414179851. The reversal of 34414179840 is 4897141443.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16057809 + ... + 16059951.

Almost surely, 2^34414179840 is an apocalyptic number.

34414179840 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 34414179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64667611008).

34414179840 is an abundant number, since it is smaller than the sum of its proper divisors (94921042176).

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

34414179840 is a wasteful number, since it uses less digits than its factorization.

34414179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 34414179840 in words is "thirty-four billion, four hundred fourteen million, one hundred seventy-nine thousand, eight hundred forty".