3406932000 has 288 divisors, whose sum is σ = 12223948464. Its totient is φ = 898560000.

The previous prime is 3406931999. The next prime is 3406932019. The reversal of 3406932000 is 2396043.

It can be written as a sum of positive squares in 8 ways, for example, as 129140496 + 3277791504 = 11364^2 + 57252^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3635532 + ... + 3636468.

Almost surely, 2^3406932000 is an apocalyptic number.

3406932000 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 3406932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111974232).

3406932000 is an abundant number, since it is smaller than the sum of its proper divisors (8817016464).

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

3406932000 is a wasteful number, since it uses less digits than its factorization.

3406932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3406932000 is about 58368.9300912737. The cubic root of 3406932000 is about 1504.7158251252.

The spelling of 3406932000 in words is "three billion, four hundred six million, nine hundred thirty-two thousand".