3834978048 has 720 divisors, whose sum is σ = 14103403776. Its totient is φ = 1021870080.

The previous prime is 3834978013. The next prime is 3834978061. The reversal of 3834978048 is 8408794383.

3834978048 is a `hidden beast` number, since 38 + 3 + 497 + 80 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3834977985 and 3834978003.

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 79 ways as a sum of consecutive naturals, for example, 89185515 + ... + 89185557.

Almost surely, 2^3834978048 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 3834978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051701888).

3834978048 is an abundant number, since it is smaller than the sum of its proper divisors (10268425728).

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

3834978048 is a wasteful number, since it uses less digits than its factorization.

3834978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3834978048 is about 61927.1995814440. The cubic root of 3834978048 is about 1565.2641101417.

The spelling of 3834978048 in words is "three billion, eight hundred thirty-four million, nine hundred seventy-eight thousand, forty-eight".