34065239040 has 1056 divisors, whose sum is σ = 145167344640. Its totient is φ = 7549452288.

The previous prime is 34065239009. The next prime is 34065239051. The reversal of 34065239040 is 4093256043.

34065239040 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 523 + 90 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34065238986 and 34065239004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318366667 + ... + 318366773.

Almost surely, 2^34065239040 is an apocalyptic number.

34065239040 is a gapful number since it is divisible by the number (30) 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 34065239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72583672320).

34065239040 is an abundant number, since it is smaller than the sum of its proper divisors (111102105600).

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

34065239040 is a wasteful number, since it uses less digits than its factorization.

34065239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34065239040 in words is "thirty-four billion, sixty-five million, two hundred thirty-nine thousand, forty".