3642705900340 has 96 divisors (see below), whose sum is σ = 8463998721024. Its totient is φ = 1308148600320.

The previous prime is 3642705900319. The next prime is 3642705900343. The reversal of 3642705900340 is 430095072463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642705900343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25624137 + ... + 25765903.

It is an arithmetic number, because the mean of its divisors is an integer number (88166653344).

Almost surely, 2^{3642705900340} 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 3642705900340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231999360512).

3642705900340 is an abundant number, since it is smaller than the sum of its proper divisors (4821292820684).

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

3642705900340 is a wasteful number, since it uses less digits than its factorization.

3642705900340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144497 (or 144495 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 3642705900340 in words is "three trillion, six hundred forty-two billion, seven hundred five million, nine hundred thousand, three hundred forty".