3834010152 has 256 divisors, whose sum is σ = 13161984000. Its totient is φ = 1009449216.

The previous prime is 3834010111. The next prime is 3834010181. The reversal of 3834010152 is 2510104383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1061133 + ... + 1064739.

It is an arithmetic number, because the mean of its divisors is an integer number (51414000).

Almost surely, 2^3834010152 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 3834010152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580992000).

3834010152 is an abundant number, since it is smaller than the sum of its proper divisors (9327973848).

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

3834010152 is a wasteful number, since it uses less digits than its factorization.

3834010152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3834010152 is about 61919.3842992645. The cubic root of 3834010152 is about 1565.1324153118.

The spelling of 3834010152 in words is "three billion, eight hundred thirty-four million, ten thousand, one hundred fifty-two".