3834897920 has 160 divisors (see below), whose sum is σ = 10577590848. Its totient is φ = 1306165248.

The previous prime is 3834897907. The next prime is 3834897947. The reversal of 3834897920 is 297984383.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3099542 + ... + 3100778.

Almost surely, 2^3834897920 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 3834897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288795424).

3834897920 is an abundant number, since it is smaller than the sum of its proper divisors (6742692928).

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

3834897920 is a wasteful number, since it uses less digits than its factorization.

3834897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 3834897920 is about 61926.5526248636. The cubic root of 3834897920 is about 1565.2532085273.

The spelling of 3834897920 in words is "three billion, eight hundred thirty-four million, eight hundred ninety-seven thousand, nine hundred twenty".