3642503140 has 96 divisors (see below), whose sum is σ = 8019285120. Its totient is φ = 1388620800.

The previous prime is 3642503107. The next prime is 3642503143. The reversal of 3642503140 is 413052463.

It is a junction number, because it is equal to n+sod(n) for n = 3642503099 and 3642503108.

It is not an unprimeable number, because it can be changed into a prime (3642503143) 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, 7418295 + ... + 7418785.

It is an arithmetic number, because the mean of its divisors is an integer number (83534220).

Almost surely, 2^3642503140 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 3642503140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009642560).

3642503140 is an abundant number, since it is smaller than the sum of its proper divisors (4376781980).

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

3642503140 is a wasteful number, since it uses less digits than its factorization.

3642503140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3642503140 is about 60353.1535215849. The cubic root of 3642503140 is about 1538.6268667570.

The spelling of 3642503140 in words is "three billion, six hundred forty-two million, five hundred three thousand, one hundred forty".