3466632960 has 216 divisors, whose sum is σ = 13707963360. Its totient is φ = 792354816.

The previous prime is 3466632959. The next prime is 3466632977. The reversal of 3466632960 is 692366643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59146 + ... + 102134.

Almost surely, 2^3466632960 is an apocalyptic number.

3466632960 is a gapful number since it is divisible by the number (30) 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 3466632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853981680).

3466632960 is an abundant number, since it is smaller than the sum of its proper divisors (10241330400).

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

3466632960 is a wasteful number, since it uses less digits than its factorization.

3466632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43023 (or 43006 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3466632960 is about 58878.1195351890. The cubic root of 3466632960 is about 1513.4542152572.

The spelling of 3466632960 in words is "three billion, four hundred sixty-six million, six hundred thirty-two thousand, nine hundred sixty".