3642416340 has 48 divisors (see below), whose sum is σ = 10415768832. Its totient is φ = 950644096.

The previous prime is 3642416339. The next prime is 3642416357. The reversal of 3642416340 is 436142463.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 642999 + ... + 648638.

It is an arithmetic number, because the mean of its divisors is an integer number (216995184).

Almost surely, 2^3642416340 is an apocalyptic number.

3642416340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3642416340 is an abundant number, since it is smaller than the sum of its proper divisors (6773352492).

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

3642416340 is a wasteful number, since it uses less digits than its factorization.

3642416340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291696 (or 1291694 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3642416340 is about 60352.4344165171. The cubic root of 3642416340 is about 1538.6146449535.

The spelling of 3642416340 in words is "three billion, six hundred forty-two million, four hundred sixteen thousand, three hundred forty".