3241400760 has 512 divisors, whose sum is σ = 12700800000. Its totient is φ = 728082432.

The previous prime is 3241400753. The next prime is 3241400797. The reversal of 3241400760 is 670041423.

3241400760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7735831 + ... + 7736249.

It is an arithmetic number, because the mean of its divisors is an integer number (24806250).

Almost surely, 2^3241400760 is an apocalyptic number.

3241400760 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 3241400760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400000).

3241400760 is an abundant number, since it is smaller than the sum of its proper divisors (9459399240).

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

3241400760 is a wasteful number, since it uses less digits than its factorization.

3241400760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3241400760 is about 56933.3009757910. The cubic root of 3241400760 is about 1479.9404590120.

The spelling of 3241400760 in words is "three billion, two hundred forty-one million, four hundred thousand, seven hundred sixty".