1642309344 has 480 divisors, whose sum is σ = 5716884096. Its totient is φ = 457850880.

The previous prime is 1642309337. The next prime is 1642309367. The reversal of 1642309344 is 4439032461.

It is a happy number.

1642309344 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 309 + 344 = 666.

1642309344 is nontrivially palindromic in base 15.

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 = 1642309299 and 1642309308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26923074 + ... + 26923134.

Almost surely, 2^1642309344 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 1642309344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858442048).

1642309344 is an abundant number, since it is smaller than the sum of its proper divisors (4074574752).

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

1642309344 is a wasteful number, since it uses less digits than its factorization.

1642309344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1642309344 is about 40525.4160250083. The cubic root of 1642309344 is about 1179.8269745345.

The spelling of 1642309344 in words is "one billion, six hundred forty-two million, three hundred nine thousand, three hundred forty-four".