3477661582164 has 192 divisors, whose sum is σ = 10631900116992. Its totient is φ = 858436185600.

The previous prime is 3477661582139. The next prime is 3477661582169. The reversal of 3477661582164 is 4612851667743.

3477661582164 = T₁₆₃₇₄₄ + T₁₆₃₇₄₅ + ... + T₁₆₄₀₀₂.

It is a junction number, because it is equal to n+sod(n) for n = 3477661582098 and 3477661582107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3477661582169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287274 + ... + 2652894.

It is an arithmetic number, because the mean of its divisors is an integer number (55374479776).

Almost surely, 2^{3477661582164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3477661582164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315950058496).

3477661582164 is an abundant number, since it is smaller than the sum of its proper divisors (7154238534828).

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

3477661582164 is a wasteful number, since it uses less digits than its factorization.

3477661582164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365726 (or 2365724 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

It can be divided in two parts, 3477661 and 582164, that added together give a triangular number (4059825 = T₂₈₄₉).

The spelling of 3477661582164 in words is "three trillion, four hundred seventy-seven billion, six hundred sixty-one million, five hundred eighty-two thousand, one hundred sixty-four".