3834675000 has 768 divisors, whose sum is σ = 15748992000. Its totient is φ = 855360000.

The previous prime is 3834674999. The next prime is 3834675029. The reversal of 3834675000 is 5764383.

It is a happy number.

3834675000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166724989 + ... + 166725011.

It is an arithmetic number, because the mean of its divisors is an integer number (20506500).

Almost surely, 2^3834675000 is an apocalyptic number.

3834675000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3834675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496000).

3834675000 is an abundant number, since it is smaller than the sum of its proper divisors (11914317000).

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

3834675000 is a wasteful number, since it uses less digits than its factorization.

3834675000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3834675000 is about 61924.7527245769. The cubic root of 3834675000 is about 1565.2228789059. Note that the first 3 decimals are identical.

The spelling of 3834675000 in words is "three billion, eight hundred thirty-four million, six hundred seventy-five thousand".