3261402144 has 576 divisors, whose sum is σ = 12944655360. Its totient is φ = 780088320.

The previous prime is 3261402143. The next prime is 3261402161. The reversal of 3261402144 is 4412041623.

It is a happy number.

3261402144 is a `hidden beast` number, since 3 + 2 + 614 + 0 + 2 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3261402143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7783567 + ... + 7783985.

It is an arithmetic number, because the mean of its divisors is an integer number (22473360).

Almost surely, 2^3261402144 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 3261402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472327680).

3261402144 is an abundant number, since it is smaller than the sum of its proper divisors (9683253216).

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

3261402144 is a wasteful number, since it uses less digits than its factorization.

3261402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3261402144 is about 57108.6871150090. The cubic root of 3261402144 is about 1482.9782588672.

Adding to 3261402144 its reverse (4412041623), we get a palindrome (7673443767).

The spelling of 3261402144 in words is "three billion, two hundred sixty-one million, four hundred two thousand, one hundred forty-four".