34054285356 has 288 divisors, whose sum is σ = 110246456320. Its totient is φ = 8950673664.

The previous prime is 34054285351. The next prime is 34054285357. The reversal of 34054285356 is 65358245043.

34054285356 is a `hidden beast` number, since 3 + 4 + 0 + 542 + 8 + 53 + 56 = 666.

It is a super-2 number, since 2×34054285356² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34054285351) by changing a digit.

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, 38829990 + ... + 38830866.

Almost surely, 2^34054285356 is an apocalyptic number.

34054285356 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 34054285356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55123228160).

34054285356 is an abundant number, since it is smaller than the sum of its proper divisors (76192170964).

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

34054285356 is a wasteful number, since it uses less digits than its factorization.

34054285356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1341 counting only the distinct ones).

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

The spelling of 34054285356 in words is "thirty-four billion, fifty-four million, two hundred eighty-five thousand, three hundred fifty-six".