3461635116 has 72 divisors (see below), whose sum is σ = 9096482304. Its totient is φ = 1151061840.

The previous prime is 3461635103. The next prime is 3461635123. The reversal of 3461635116 is 6115361643.

3461635116 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 635 + 1 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414801 + ... + 423063.

It is an arithmetic number, because the mean of its divisors is an integer number (126340032).

Almost surely, 2^3461635116 is an apocalyptic number.

3461635116 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 3461635116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548241152).

3461635116 is an abundant number, since it is smaller than the sum of its proper divisors (5634847188).

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

3461635116 is a wasteful number, since it uses less digits than its factorization.

3461635116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8699 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3461635116 is about 58835.6619406972. The cubic root of 3461635116 is about 1512.7265499135.

Adding to 3461635116 its reverse (6115361643), we get a palindrome (9576996759).

The spelling of 3461635116 in words is "three billion, four hundred sixty-one million, six hundred thirty-five thousand, one hundred sixteen".