3642702360 has 256 divisors, whose sum is σ = 12214540800. Its totient is φ = 861696000.

The previous prime is 3642702347. The next prime is 3642702367. The reversal of 3642702360 is 632072463.

3642702360 is digitally balanced in base 2 and base 4, because in such bases 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642702367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11865327 + ... + 11865633.

It is an arithmetic number, because the mean of its divisors is an integer number (47713050).

Almost surely, 2^3642702360 is an apocalyptic number.

3642702360 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 3642702360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107270400).

3642702360 is an abundant number, since it is smaller than the sum of its proper divisors (8571838440).

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

3642702360 is a wasteful number, since it uses less digits than its factorization.

3642702360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 3642702360 is about 60354.8039513012. The cubic root of 3642702360 is about 1538.6549170331.

The spelling of 3642702360 in words is "three billion, six hundred forty-two million, seven hundred two thousand, three hundred sixty".