1642134384 has 200 divisors, whose sum is σ = 5231474688. Its totient is φ = 493153920.

The previous prime is 1642134379. The next prime is 1642134421. The reversal of 1642134384 is 4834312461.

1642134384 is a `hidden beast` number, since 1 + 6 + 4 + 213 + 438 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1810059 + ... + 1810965.

Almost surely, 2^1642134384 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 1642134384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615737344).

1642134384 is an abundant number, since it is smaller than the sum of its proper divisors (3589340304).

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

1642134384 is a wasteful number, since it uses less digits than its factorization.

1642134384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1050 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1642134384 is about 40523.2573221848. The cubic root of 1642134384 is about 1179.7850762447.

It can be divided in two parts, 16421 and 34384, that added together give a palindrome (50805).

The spelling of 1642134384 in words is "one billion, six hundred forty-two million, one hundred thirty-four thousand, three hundred eighty-four".