3962038080 has 1344 divisors, whose sum is σ = 18680094720. Its totient is φ = 696729600.

The previous prime is 3962038039. The next prime is 3962038109. The reversal of 3962038080 is 808302693.

3962038080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127807665 + ... + 127807695.

It is an arithmetic number, because the mean of its divisors is an integer number (13898880).

Almost surely, 2^3962038080 is an apocalyptic number.

3962038080 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 3962038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340047360).

3962038080 is an abundant number, since it is smaller than the sum of its proper divisors (14718056640).

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

3962038080 is a wasteful number, since it uses less digits than its factorization.

3962038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3962038080 is about 62944.7224157832. The cubic root of 3962038080 is about 1582.3633488117.

The spelling of 3962038080 in words is "three billion, nine hundred sixty-two million, thirty-eight thousand, eighty".