34215028848 has 1080 divisors, whose sum is σ = 140606893440. Its totient is φ = 7520947200.

The previous prime is 34215028847. The next prime is 34215028853. The reversal of 34215028848 is 84882051243.

34215028848 is a `hidden beast` number, since 3 + 4 + 21 + 502 + 88 + 48 = 666.

It is a super-3 number, since 3×34215028848³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34215028843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1103710593 + ... + 1103710623.

It is an arithmetic number, because the mean of its divisors is an integer number (130191568).

Almost surely, 2^34215028848 is an apocalyptic number.

34215028848 is a gapful number since it is divisible by the number (38) 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 34215028848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70303446720).

34215028848 is an abundant number, since it is smaller than the sum of its proper divisors (106391864592).

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

34215028848 is a wasteful number, since it uses less digits than its factorization.

34215028848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 34215028848 in words is "thirty-four billion, two hundred fifteen million, twenty-eight thousand, eight hundred forty-eight".