3461693834550 has 192 divisors, whose sum is σ = 10334624256000. Its totient is φ = 765719942400.

The previous prime is 3461693834503. The next prime is 3461693834647. The reversal of 3461693834550 is 554383961643.

It is a super-2 number, since 2×3461693834550² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 509746 + ... + 2680154.

It is an arithmetic number, because the mean of its divisors is an integer number (53826168000).

Almost surely, 2^{3461693834550} is an apocalyptic number.

3461693834550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3461693834550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167312128000).

3461693834550 is an abundant number, since it is smaller than the sum of its proper divisors (6872930421450).

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

3461693834550 is a wasteful number, since it uses less digits than its factorization.

3461693834550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170476 (or 2170457 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 57.

The spelling of 3461693834550 in words is "three trillion, four hundred sixty-one billion, six hundred ninety-three million, eight hundred thirty-four thousand, five hundred fifty".