3261058048 has 176 divisors, whose sum is σ = 7291970784. Its totient is φ = 1450967040.

The previous prime is 3261058039. The next prime is 3261058049. The reversal of 3261058048 is 8408501623.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 3261057998 and 3261058016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3261058049) 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 15 ways as a sum of consecutive naturals, for example, 39289815 + ... + 39289897.

Almost surely, 2^3261058048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3261058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645985392).

3261058048 is an abundant number, since it is smaller than the sum of its proper divisors (4030912736).

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

3261058048 is a wasteful number, since it uses less digits than its factorization.

3261058048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 3261058048 is about 57105.6743940565. The cubic root of 3261058048 is about 1482.9261028913.

It can be divided in two parts, 326105 and 8048, that added together give a triangular number (334153 = T₈₁₇).

The spelling of 3261058048 in words is "three billion, two hundred sixty-one million, fifty-eight thousand, forty-eight".