3461637816 has 768 divisors, whose sum is σ = 13492224000. Its totient is φ = 800616960.

The previous prime is 3461637799. The next prime is 3461637827. The reversal of 3461637816 is 6187361643.

3461637816 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 637 + 8 + 1 + 6 = 666.

3461637816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3461637816² = 23965872738322499712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111665721 + ... + 111665751.

It is an arithmetic number, because the mean of its divisors is an integer number (17568000).

Almost surely, 2^3461637816 is an apocalyptic number.

3461637816 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 3461637816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746112000).

3461637816 is an abundant number, since it is smaller than the sum of its proper divisors (10030586184).

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

3461637816 is a wasteful number, since it uses less digits than its factorization.

3461637816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3461637816 is about 58835.6848859602. The cubic root of 3461637816 is about 1512.7269432113.

The spelling of 3461637816 in words is "three billion, four hundred sixty-one million, six hundred thirty-seven thousand, eight hundred sixteen".