3278535120 has 720 divisors, whose sum is σ = 13870808640. Its totient is φ = 689762304.

The previous prime is 3278535079. The next prime is 3278535131. The reversal of 3278535120 is 215358723.

It is a happy number.

3278535120 is a `hidden beast` number, since 32 + 78 + 535 + 1 + 20 = 666.

3278535120 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 tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44911404 + ... + 44911476.

It is an arithmetic number, because the mean of its divisors is an integer number (19265012).

Almost surely, 2^3278535120 is an apocalyptic number.

3278535120 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 3278535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935404320).

3278535120 is an abundant number, since it is smaller than the sum of its proper divisors (10592273520).

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

3278535120 is a wasteful number, since it uses less digits than its factorization.

3278535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3278535120 is about 57258.4938677224. The cubic root of 3278535120 is about 1485.5705456529.

The spelling of 3278535120 in words is "three billion, two hundred seventy-eight million, five hundred thirty-five thousand, one hundred twenty".