3261299040 has 288 divisors, whose sum is σ = 11887948800. Its totient is φ = 811302912.

The previous prime is 3261299033. The next prime is 3261299051. The reversal of 3261299040 is 409921623.

3261299040 is a `hidden beast` number, since 32 + 612 + 9 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3261298986 and 3261299004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3108436 + ... + 3109484.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^3261299040 is an apocalyptic number.

3261299040 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 3261299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

3261299040 is an abundant number, since it is smaller than the sum of its proper divisors (8626649760).

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

3261299040 is a wasteful number, since it uses less digits than its factorization.

3261299040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3261299040 is about 57107.7844080822. The cubic root of 3261299040 is about 1482.9626313758.

The spelling of 3261299040 in words is "three billion, two hundred sixty-one million, two hundred ninety-nine thousand, forty".