3275400960 has 216 divisors, whose sum is σ = 12204838464. Its totient is φ = 806215680.

The previous prime is 3275400959. The next prime is 3275400967. The reversal of 3275400960 is 690045723.

3275400960 is a `hidden beast` number, since 3 + 27 + 540 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3275400967) by changing a digit.

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, 138825 + ... + 160695.

Almost surely, 2^3275400960 is an apocalyptic number.

3275400960 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 3275400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102419232).

3275400960 is an abundant number, since it is smaller than the sum of its proper divisors (8929437504).

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

3275400960 is a wasteful number, since it uses less digits than its factorization.

3275400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21911 (or 21894 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3275400960 is about 57231.1188078654. The cubic root of 3275400960 is about 1485.0970109736.

The spelling of 3275400960 in words is "three billion, two hundred seventy-five million, four hundred thousand, nine hundred sixty".