3486600810 has 192 divisors, whose sum is σ = 11431031040. Its totient is φ = 716221440.

The previous prime is 3486600809. The next prime is 3486600823. The reversal of 3486600810 is 180066843.

It is a happy number.

3486600810 is a `hidden beast` number, since 3 + 48 + 6 + 600 + 8 + 1 + 0 = 666.

It is a super-2 number, since 2×3486600810² = 24312770416585312200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613944 + ... + 619596.

It is an arithmetic number, because the mean of its divisors is an integer number (59536620).

Almost surely, 2^3486600810 is an apocalyptic number.

3486600810 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 3486600810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715515520).

3486600810 is an abundant number, since it is smaller than the sum of its proper divisors (7944430230).

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

3486600810 is a wasteful number, since it uses less digits than its factorization.

3486600810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3486600810 is about 59047.4454146833. The cubic root of 3486600810 is about 1516.3544923385.

The spelling of 3486600810 in words is "three billion, four hundred eighty-six million, six hundred thousand, eight hundred ten".