3241292544 has 288 divisors, whose sum is σ = 11312967680. Its totient is φ = 895795200.

The previous prime is 3241292507. The next prime is 3241292581. The reversal of 3241292544 is 4452921423.

It is a happy number.

3241292544 is a `hidden beast` number, since 3 + 24 + 1 + 2 + 92 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (3241292507) and next prime (3241292581).

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 = 3241292499 and 3241292508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498824 + ... + 1500984.

Almost surely, 2^3241292544 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 3241292544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656483840).

3241292544 is an abundant number, since it is smaller than the sum of its proper divisors (8071675136).

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

3241292544 is a wasteful number, since it uses less digits than its factorization.

3241292544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2204 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3241292544 is about 56932.3505926112. The cubic root of 3241292544 is about 1479.9239892786.

The spelling of 3241292544 in words is "three billion, two hundred forty-one million, two hundred ninety-two thousand, five hundred forty-four".