42780384 has 72 divisors (see below), whose sum is σ = 124658352. Its totient is φ = 13908480.

The previous prime is 42780379. The next prime is 42780389. The reversal of 42780384 is 48308724.

42780384 is a `hidden beast` number, since 4 + 278 + 0 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (42780379) and next prime (42780389).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×42780384² = 3660322510374912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42780389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9997 + ... + 13619.

It is an arithmetic number, because the mean of its divisors is an integer number (1731366).

Almost surely, 2^42780384 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 42780384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62329176).

42780384 is an abundant number, since it is smaller than the sum of its proper divisors (81877968).

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

42780384 is a wasteful number, since it uses less digits than its factorization.

42780384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42780384 is about 6540.6715251570. The cubic root of 42780384 is about 349.7423518787.

The spelling of 42780384 in words is "forty-two million, seven hundred eighty thousand, three hundred eighty-four".