3919540128 has 384 divisors, whose sum is σ = 13028843520. Its totient is φ = 1006387200.

The previous prime is 3919540123. The next prime is 3919540139. The reversal of 3919540128 is 8210459193.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3919540128.

It is not an unprimeable number, because it can be changed into a prime (3919540123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38807278 + ... + 38807378.

It is an arithmetic number, because the mean of its divisors is an integer number (33929280).

Almost surely, 2^3919540128 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 3919540128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514421760).

3919540128 is an abundant number, since it is smaller than the sum of its proper divisors (9109303392).

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

3919540128 is a wasteful number, since it uses less digits than its factorization.

3919540128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 3919540128 is about 62606.2307442318. The cubic root of 3919540128 is about 1576.6853718925.

The spelling of 3919540128 in words is "three billion, nine hundred nineteen million, five hundred forty thousand, one hundred twenty-eight".