34025548536 has 384 divisors, whose sum is σ = 113522572800. Its totient is φ = 8991544320.

The previous prime is 34025548511. The next prime is 34025548553. The reversal of 34025548536 is 63584552043.

34025548536 is a `hidden beast` number, since 3 + 40 + 2 + 554 + 8 + 53 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34025548491 and 34025548500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116128006 + ... + 116128298.

It is an arithmetic number, because the mean of its divisors is an integer number (295631700).

Almost surely, 2^34025548536 is an apocalyptic number.

34025548536 is a gapful number since it is divisible by the number (36) 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 34025548536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56761286400).

34025548536 is an abundant number, since it is smaller than the sum of its proper divisors (79497024264).

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

34025548536 is a wasteful number, since it uses less digits than its factorization.

34025548536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 34025548536 in words is "thirty-four billion, twenty-five million, five hundred forty-eight thousand, five hundred thirty-six".