3642945993 has 12 divisors (see below), whose sum is σ = 5266459380. Its totient is φ = 2426587776.

The previous prime is 3642945991. The next prime is 3642946001. The reversal of 3642945993 is 3995492463.

3642945993 is a `hidden beast` number, since 3 + 6 + 42 + 9 + 4 + 599 + 3 = 666.

3642945993 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 can be written as a sum of positive squares in 2 ways, for example, as 1417748409 + 2225197584 = 37653^2 + 47172^2 .

It is not a de Polignac number, because 3642945993 - 2¹ = 3642945991 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3642945991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158908 + ... + 180381.

It is an arithmetic number, because the mean of its divisors is an integer number (438871615).

Almost surely, 2^3642945993 is an apocalyptic number.

It is an amenable number.

3642945993 is a deficient number, since it is larger than the sum of its proper divisors (1623513387).

3642945993 is a wasteful number, since it uses less digits than its factorization.

3642945993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340488 (or 340485 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The square root of 3642945993 is about 60356.8222573058. The cubic root of 3642945993 is about 1538.6892192918.

The spelling of 3642945993 in words is "three billion, six hundred forty-two million, nine hundred forty-five thousand, nine hundred ninety-three".