3280435200 has 720 divisors, whose sum is σ = 14008634640. Its totient is φ = 743178240.

The previous prime is 3280435187. The next prime is 3280435229. The reversal of 3280435200 is 25340823.

3280435200 is a `hidden beast` number, since 3 + 28 + 0 + 435 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3280435200² = 21522510202798080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29030344 + ... + 29030456.

It is an arithmetic number, because the mean of its divisors is an integer number (19456437).

Almost surely, 2^3280435200 is an apocalyptic number.

3280435200 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 3280435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004317320).

3280435200 is an abundant number, since it is smaller than the sum of its proper divisors (10728199440).

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

3280435200 is a wasteful number, since it uses less digits than its factorization.

3280435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3280435200 is about 57275.0835878919. The cubic root of 3280435200 is about 1485.8574784500.

The spelling of 3280435200 in words is "three billion, two hundred eighty million, four hundred thirty-five thousand, two hundred".