3642536760 has 128 divisors (see below), whose sum is σ = 11270568960. Its totient is φ = 941184000.

The previous prime is 3642536741. The next prime is 3642536767. The reversal of 3642536760 is 676352463.

3642536760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642536767) 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, 740469 + ... + 745371.

It is an arithmetic number, because the mean of its divisors is an integer number (88051320).

Almost surely, 2^3642536760 is an apocalyptic number.

3642536760 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 3642536760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635284480).

3642536760 is an abundant number, since it is smaller than the sum of its proper divisors (7628032200).

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

3642536760 is a wasteful number, since it uses less digits than its factorization.

3642536760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The square root of 3642536760 is about 60353.4320482274. The cubic root of 3642536760 is about 1538.6316005416.

The spelling of 3642536760 in words is "three billion, six hundred forty-two million, five hundred thirty-six thousand, seven hundred sixty".