3206306400 has 432 divisors, whose sum is σ = 11724030864. Its totient is φ = 760320000.

The previous prime is 3206306359. The next prime is 3206306417. The reversal of 3206306400 is 46036023.

3206306400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17714310 + ... + 17714490.

Almost surely, 2^3206306400 is an apocalyptic number.

3206306400 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 3206306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862015432).

3206306400 is an abundant number, since it is smaller than the sum of its proper divisors (8517724464).

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

3206306400 is a wasteful number, since it uses less digits than its factorization.

3206306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3206306400 is about 56624.2562865068. The cubic root of 3206306400 is about 1474.5800049062.

The spelling of 3206306400 in words is "three billion, two hundred six million, three hundred six thousand, four hundred".