34049082240 has 896 divisors, whose sum is σ = 134853465600. Its totient is φ = 8178610176.

The previous prime is 34049082229. The next prime is 34049082271. The reversal of 34049082240 is 4228094043.

34049082240 is a `hidden beast` number, since 3 + 404 + 9 + 0 + 8 + 2 + 240 = 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 = 34049082195 and 34049082204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 203886637 + ... + 203886803.

It is an arithmetic number, because the mean of its divisors is an integer number (150506100).

Almost surely, 2^34049082240 is an apocalyptic number.

34049082240 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 34049082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67426732800).

34049082240 is an abundant number, since it is smaller than the sum of its proper divisors (100804383360).

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

34049082240 is a wasteful number, since it uses less digits than its factorization.

34049082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34049082240 in words is "thirty-four billion, forty-nine million, eighty-two thousand, two hundred forty".