3486146664 has 384 divisors, whose sum is σ = 12171479040. Its totient is φ = 803520000.

The previous prime is 3486146663. The next prime is 3486146669. The reversal of 3486146664 is 4666416843.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486146663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23086989 + ... + 23087139.

It is an arithmetic number, because the mean of its divisors is an integer number (31696560).

Almost surely, 2^3486146664 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 3486146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085739520).

3486146664 is an abundant number, since it is smaller than the sum of its proper divisors (8685332376).

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

3486146664 is a wasteful number, since it uses less digits than its factorization.

3486146664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 218 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 3486146664 is about 59043.5996870110. The cubic root of 3486146664 is about 1516.2886520673.

The spelling of 3486146664 in words is "three billion, four hundred eighty-six million, one hundred forty-six thousand, six hundred sixty-four".