3462041744640 has 288 divisors, whose sum is σ = 12287895177600. Its totient is φ = 923026636800.

The previous prime is 3462041744621. The next prime is 3462041744641. The reversal of 3462041744640 is 464471402643.

3462041744640 is a `hidden beast` number, since 3 + 4 + 620 + 4 + 17 + 4 + 4 + 6 + 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3462041744641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340445476 + ... + 340455644.

It is an arithmetic number, because the mean of its divisors is an integer number (42666302700).

Almost surely, 2^{3462041744640} is an apocalyptic number.

3462041744640 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 3462041744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143947588800).

3462041744640 is an abundant number, since it is smaller than the sum of its proper divisors (8825853432960).

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

3462041744640 is a wasteful number, since it uses less digits than its factorization.

3462041744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20050 (or 20030 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 3462041744640 in words is "three trillion, four hundred sixty-two billion, forty-one million, seven hundred forty-four thousand, six hundred forty".