34806429840 has 640 divisors, whose sum is σ = 143630807040. Its totient is φ = 6766239744.

The previous prime is 34806429811. The next prime is 34806429893. The reversal of 34806429840 is 4892460843.

It is a super-2 number, since 2×34806429840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34806429840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15352387 + ... + 15354653.

It is an arithmetic number, because the mean of its divisors is an integer number (224423136).

Almost surely, 2^34806429840 is an apocalyptic number.

34806429840 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 34806429840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71815403520).

34806429840 is an abundant number, since it is smaller than the sum of its proper divisors (108824377200).

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

34806429840 is a wasteful number, since it uses less digits than its factorization.

34806429840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 34806429840 in words is "thirty-four billion, eight hundred six million, four hundred twenty-nine thousand, eight hundred forty".