3283142544 has 800 divisors, whose sum is σ = 12444917760. Its totient is φ = 821145600.

The previous prime is 3283142539. The next prime is 3283142557. The reversal of 3283142544 is 4452413823.

3283142544 is a `hidden beast` number, since 32 + 83 + 1 + 4 + 2 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3283142499 and 3283142508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 105907809 + ... + 105907839.

Almost surely, 2^3283142544 is an apocalyptic number.

3283142544 is a gapful number since it is divisible by the number (34) 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 3283142544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222458880).

3283142544 is an abundant number, since it is smaller than the sum of its proper divisors (9161775216).

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

3283142544 is a wasteful number, since it uses less digits than its factorization.

3283142544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 3283142544 is about 57298.7132839822. The cubic root of 3283142544 is about 1486.2661255693.

The spelling of 3283142544 in words is "three billion, two hundred eighty-three million, one hundred forty-two thousand, five hundred forty-four".