3930370080 has 768 divisors, whose sum is σ = 16582164480. Its totient is φ = 759103488.

The previous prime is 3930370051. The next prime is 3930370139. The reversal of 3930370080 is 800730393.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49751481 + ... + 49751559.

It is an arithmetic number, because the mean of its divisors is an integer number (21591360).

Almost surely, 2^3930370080 is an apocalyptic number.

3930370080 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 3930370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8291082240).

3930370080 is an abundant number, since it is smaller than the sum of its proper divisors (12651794400).

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

3930370080 is a wasteful number, since it uses less digits than its factorization.

3930370080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3930370080 is about 62692.6636856339. The cubic root of 3930370080 is about 1578.1361989102.

The spelling of 3930370080 in words is "three billion, nine hundred thirty million, three hundred seventy thousand, eighty".