34463082240 has 216 divisors, whose sum is σ = 124423921440. Its totient is φ = 8790515712.

The previous prime is 34463082229. The next prime is 34463082253. The reversal of 34463082240 is 4228036443.

34463082240 is a `hidden beast` number, since 344 + 6 + 308 + 2 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34463082195 and 34463082204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199926 + ... + 329994.

Almost surely, 2^34463082240 is an apocalyptic number.

34463082240 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 34463082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62211960720).

34463082240 is an abundant number, since it is smaller than the sum of its proper divisors (89960839200).

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

34463082240 is a wasteful number, since it uses less digits than its factorization.

34463082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130119 (or 130102 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34463082240 in words is "thirty-four billion, four hundred sixty-three million, eighty-two thousand, two hundred forty".