34961341536 has 144 divisors (see below), whose sum is σ = 108626485968. Its totient is φ = 10578048000.

The previous prime is 34961341507. The next prime is 34961341559. The reversal of 34961341536 is 63514316943.

It is a happy number.

34961341536 is a `hidden beast` number, since 3 + 496 + 1 + 3 + 4 + 153 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 34961341491 and 34961341500.

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 23 ways as a sum of consecutive naturals, for example, 2136586 + ... + 2152886.

It is an arithmetic number, because the mean of its divisors is an integer number (754350597).

Almost surely, 2^34961341536 is an apocalyptic number.

34961341536 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 34961341536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54313242984).

34961341536 is an abundant number, since it is smaller than the sum of its proper divisors (73665144432).

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

34961341536 is a wasteful number, since it uses less digits than its factorization.

34961341536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17005 (or 16994 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 34961341536 in words is "thirty-four billion, nine hundred sixty-one million, three hundred forty-one thousand, five hundred thirty-six".