3286728900 has 675 divisors, whose sum is σ = 13458891831. Its totient is φ = 693463680.

The previous prime is 3286728857. The next prime is 3286728901. The reversal of 3286728900 is 98276823.

The square root of 3286728900 is 57330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 847159236 + 2439569664 = 29106^2 + 49392^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is not an unprimeable number, because it can be changed into a prime (3286728901) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 252825294 + ... + 252825306.

Almost surely, 2^3286728900 is an apocalyptic number.

3286728900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3286728900 is the 57330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3286728900

3286728900 is an abundant number, since it is smaller than the sum of its proper divisors (10172162931).

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

3286728900 is a wasteful number, since it uses less digits than its factorization.

3286728900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 3286728900 is about 1486.8071052040.

The spelling of 3286728900 in words is "three billion, two hundred eighty-six million, seven hundred twenty-eight thousand, nine hundred".