3914393728 has 128 divisors (see below), whose sum is σ = 9094809600. Its totient is φ = 1643642880.

The previous prime is 3914393723. The next prime is 3914393761. The reversal of 3914393728 is 8273934193.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3914393723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15230976 + ... + 15231232.

It is an arithmetic number, because the mean of its divisors is an integer number (71053200).

Almost surely, 2^3914393728 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 3914393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547404800).

3914393728 is an abundant number, since it is smaller than the sum of its proper divisors (5180415872).

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

3914393728 is a wasteful number, since it uses less digits than its factorization.

3914393728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

The square root of 3914393728 is about 62565.1159033530. The cubic root of 3914393728 is about 1575.9950011437.

The spelling of 3914393728 in words is "three billion, nine hundred fourteen million, three hundred ninety-three thousand, seven hundred twenty-eight".