3834237440 has 160 divisors (see below), whose sum is σ = 10245844224. Its totient is φ = 1364131840.

The previous prime is 3834237439. The next prime is 3834237457. The reversal of 3834237440 is 447324383.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3834237394 and 3834237403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1322072 + ... + 1324968.

Almost surely, 2^3834237440 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 3834237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122922112).

3834237440 is an abundant number, since it is smaller than the sum of its proper divisors (6411606784).

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

3834237440 is a wasteful number, since it uses less digits than its factorization.

3834237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The square root of 3834237440 is about 61921.2196262315. The cubic root of 3834237440 is about 1565.1633427892.

The spelling of 3834237440 in words is "three billion, eight hundred thirty-four million, two hundred thirty-seven thousand, four hundred forty".