3642147561 has 48 divisors (see below), whose sum is σ = 5486369280. Its totient is φ = 2145761280.

The previous prime is 3642147539. The next prime is 3642147569. The reversal of 3642147561 is 1657412463.

It is a happy number.

3642147561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3642147561 - 2⁹ = 3642147049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3642147569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523355 + ... + 1525743.

It is an arithmetic number, because the mean of its divisors is an integer number (114299360).

Almost surely, 2^3642147561 is an apocalyptic number.

3642147561 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3642147561 is a deficient number, since it is larger than the sum of its proper divisors (1844221719).

3642147561 is a wasteful number, since it uses less digits than its factorization.

3642147561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2533 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 3642147561 is about 60350.2076301316. The cubic root of 3642147561 is about 1538.5767985131.

The spelling of 3642147561 in words is "three billion, six hundred forty-two million, one hundred forty-seven thousand, five hundred sixty-one".