34042563540 has 36 divisors (see below), whose sum is σ = 103262443284. Its totient is φ = 9078016896.

The previous prime is 34042563517. The next prime is 34042563623. The reversal of 34042563540 is 4536524043.

34042563540 is a `hidden beast` number, since 3 + 4 + 0 + 42 + 563 + 54 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11666592144 + 22375971396 = 108012^2 + 149586^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×34042563540² (a number of 22 digits) contains 22 as substring.

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 = 34042563495 and 34042563504.

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 11 ways as a sum of consecutive naturals, for example, 94562497 + ... + 94562856.

Almost surely, 2^34042563540 is an apocalyptic number.

34042563540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34042563540 is an abundant number, since it is smaller than the sum of its proper divisors (69219879744).

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

34042563540 is a wasteful number, since it uses less digits than its factorization.

34042563540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189125368 (or 189125363 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34042563540 in words is "thirty-four billion, forty-two million, five hundred sixty-three thousand, five hundred forty".