34041361536 has 768 divisors, whose sum is σ = 128919840000. Its totient is φ = 8786921472.

The previous prime is 34041361499. The next prime is 34041361579. The reversal of 34041361536 is 63516314043.

34041361536 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 1 + 3 + 615 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34041361536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 724284265 + ... + 724284311.

It is an arithmetic number, because the mean of its divisors is an integer number (167864375).

Almost surely, 2^34041361536 is an apocalyptic number.

34041361536 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 34041361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64459920000).

34041361536 is an abundant number, since it is smaller than the sum of its proper divisors (94878478464).

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

34041361536 is an equidigital number, since it uses as much as digits as its factorization.

34041361536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 72 counting only the distinct ones).

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

Adding to 34041361536 its reverse (63516314043), we get a palindrome (97557675579).

The spelling of 34041361536 in words is "thirty-four billion, forty-one million, three hundred sixty-one thousand, five hundred thirty-six".