34846272240 has 480 divisors, whose sum is σ = 125369850816. Its totient is φ = 7974420480.

The previous prime is 34846272229. The next prime is 34846272259. The reversal of 34846272240 is 4227264843.

It is a junction number, because it is equal to n+sod(n) for n = 34846272192 and 34846272201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66883180 + ... + 66883700.

Almost surely, 2^34846272240 is an apocalyptic number.

34846272240 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 34846272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62684925408).

34846272240 is an abundant number, since it is smaller than the sum of its proper divisors (90523578576).

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

34846272240 is a wasteful number, since it uses less digits than its factorization.

34846272240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 34846272240 in words is "thirty-four billion, eight hundred forty-six million, two hundred seventy-two thousand, two hundred forty".