3903200742 has 128 divisors (see below), whose sum is σ = 9654912000. Its totient is φ = 1048578048.

The previous prime is 3903200711. The next prime is 3903200747. The reversal of 3903200742 is 2470023093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3903200747) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6764358 + ... + 6764934.

It is an arithmetic number, because the mean of its divisors is an integer number (75429000).

Almost surely, 2^3903200742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3903200742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827456000).

3903200742 is an abundant number, since it is smaller than the sum of its proper divisors (5751711258).

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

3903200742 is a wasteful number, since it uses less digits than its factorization.

3903200742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3903200742 is about 62475.6011735782. The cubic root of 3903200742 is about 1574.4914110961.

The spelling of 3903200742 in words is "three billion, nine hundred three million, two hundred thousand, seven hundred forty-two".