3834935280 has 600 divisors, whose sum is σ = 15062275536. Its totient is φ = 903260160.

The previous prime is 3834935233. The next prime is 3834935297. The reversal of 3834935280 is 825394383.

3834935280 is a `hidden beast` number, since 3 + 8 + 34 + 93 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52533324 + ... + 52533396.

Almost surely, 2^3834935280 is an apocalyptic number.

3834935280 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 3834935280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531137768).

3834935280 is an abundant number, since it is smaller than the sum of its proper divisors (11227340256).

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

3834935280 is a wasteful number, since it uses less digits than its factorization.

3834935280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3834935280 is about 61926.8542717939. The cubic root of 3834935280 is about 1565.2582914675.

The spelling of 3834935280 in words is "three billion, eight hundred thirty-four million, nine hundred thirty-five thousand, two hundred eighty".