3238955856 has 80 divisors (see below), whose sum is σ = 9338241600. Its totient is φ = 1074863232.

The previous prime is 3238955831. The next prime is 3238955861. The reversal of 3238955856 is 6585598323.

3238955856 is a `hidden beast` number, since 3 + 2 + 3 + 89 + 558 + 5 + 6 = 666.

It is a super-3 number, since 3×3238955856³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81550 + ... + 114578.

It is an arithmetic number, because the mean of its divisors is an integer number (116728020).

Almost surely, 2^3238955856 is an apocalyptic number.

3238955856 is a gapful number since it is divisible by the number (36) 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 3238955856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669120800).

3238955856 is an abundant number, since it is smaller than the sum of its proper divisors (6099285744).

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

3238955856 is a wasteful number, since it uses less digits than its factorization.

3238955856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33273 (or 33261 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The square root of 3238955856 is about 56911.8252738392. The cubic root of 3238955856 is about 1479.5682719310.

The spelling of 3238955856 in words is "three billion, two hundred thirty-eight million, nine hundred fifty-five thousand, eight hundred fifty-six".