3938779440 has 160 divisors (see below), whose sum is σ = 14156951040. Its totient is φ = 1004661504.

The previous prime is 3938779409. The next prime is 3938779531. The reversal of 3938779440 is 449778393.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10039 + ... + 89321.

It is an arithmetic number, because the mean of its divisors is an integer number (88480944).

Almost surely, 2^3938779440 is an apocalyptic number.

3938779440 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 3938779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078475520).

3938779440 is an abundant number, since it is smaller than the sum of its proper divisors (10218171600).

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

3938779440 is a wasteful number, since it uses less digits than its factorization.

3938779440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79328 (or 79316 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3938779440 is about 62759.6959839673. The cubic root of 3938779440 is about 1579.2609158790.

The spelling of 3938779440 in words is "three billion, nine hundred thirty-eight million, seven hundred seventy-nine thousand, four hundred forty".