34389121536 has 800 divisors, whose sum is σ = 130477184640. Its totient is φ = 8831877120.

The previous prime is 34389121511. The next prime is 34389121541. The reversal of 34389121536 is 63512198343.

34389121536 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 91 + 21 + 536 = 666.

It is a super-2 number, since 2×34389121536² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34389121491 and 34389121500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 386394580 + ... + 386394668.

Almost surely, 2^34389121536 is an apocalyptic number.

34389121536 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 34389121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65238592320).

34389121536 is an abundant number, since it is smaller than the sum of its proper divisors (96088063104).

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

34389121536 is an frugal number, since it uses more digits than its factorization.

34389121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 112 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 34389121536 in words is "thirty-four billion, three hundred eighty-nine million, one hundred twenty-one thousand, five hundred thirty-six".