3261603840 has 448 divisors, whose sum is σ = 12078858240. Its totient is φ = 743178240.

The previous prime is 3261603827. The next prime is 3261603881. The reversal of 3261603840 is 483061623.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25681857 + ... + 25681983.

Almost surely, 2^3261603840 is an apocalyptic number.

3261603840 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 3261603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039429120).

3261603840 is an abundant number, since it is smaller than the sum of its proper divisors (8817254400).

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

3261603840 is a wasteful number, since it uses less digits than its factorization.

3261603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3261603840 is about 57110.4529836702. The cubic root of 3261603840 is about 1483.0088290130.

The spelling of 3261603840 in words is "three billion, two hundred sixty-one million, six hundred three thousand, eight hundred forty".