34284874536 has 160 divisors (see below), whose sum is σ = 105233990400. Its totient is φ = 10342287360.

The previous prime is 34284874513. The next prime is 34284874553. The reversal of 34284874536 is 63547848243.

34284874536 is a `hidden beast` number, since 3 + 4 + 28 + 4 + 87 + 4 + 536 = 666.

It is a super-2 number, since 2×34284874536² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1578760 + ... + 1600328.

It is an arithmetic number, because the mean of its divisors is an integer number (657712440).

Almost surely, 2^34284874536 is an apocalyptic number.

34284874536 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 34284874536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52616995200).

34284874536 is an abundant number, since it is smaller than the sum of its proper divisors (70949115864).

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

34284874536 is a wasteful number, since it uses less digits than its factorization.

34284874536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21821 (or 21808 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 34284874536 in words is "thirty-four billion, two hundred eighty-four million, eight hundred seventy-four thousand, five hundred thirty-six".