3483378528 has 288 divisors, whose sum is σ = 11226491136. Its totient is φ = 926125056.

The previous prime is 3483378487. The next prime is 3483378553. The reversal of 3483378528 is 8258733843.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20135050 + ... + 20135222.

It is an arithmetic number, because the mean of its divisors is an integer number (38980872).

Almost surely, 2^3483378528 is an apocalyptic number.

3483378528 is a gapful number since it is divisible by the number (38) 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 3483378528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613245568).

3483378528 is an abundant number, since it is smaller than the sum of its proper divisors (7743112608).

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

3483378528 is a wasteful number, since it uses less digits than its factorization.

3483378528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 3483378528 is about 59020.1535748595. The cubic root of 3483378528 is about 1515.8872150809.

The spelling of 3483378528 in words is "three billion, four hundred eighty-three million, three hundred seventy-eight thousand, five hundred twenty-eight".