42709644 has 72 divisors (see below), whose sum is σ = 120360240. Its totient is φ = 12690432.

The previous prime is 42709637. The next prime is 42709651. The reversal of 42709644 is 44690724.

42709644 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 9 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (42709637) and next prime (42709651).

It is a super-2 number, since 2×42709644² = 3648227381213472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42709599 and 42709608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9792 + ... + 13464.

It is an arithmetic number, because the mean of its divisors is an integer number (1671670).

Almost surely, 2^42709644 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 42709644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60180120).

42709644 is an abundant number, since it is smaller than the sum of its proper divisors (77650596).

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

42709644 is a wasteful number, since it uses less digits than its factorization.

42709644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42709644 is about 6535.2615861953. The cubic root of 42709644 is about 349.5494720196.

The spelling of 42709644 in words is "forty-two million, seven hundred nine thousand, six hundred forty-four".