3920093760 has 448 divisors, whose sum is σ = 14232453120. Its totient is φ = 905748480.

The previous prime is 3920093759. The next prime is 3920093761. The reversal of 3920093760 is 673900293.

It is an interprime number because it is at equal distance from previous prime (3920093759) and next prime (3920093761).

It is not an unprimeable number, because it can be changed into a prime (3920093761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30866817 + ... + 30866943.

Almost surely, 2^3920093760 is an apocalyptic number.

3920093760 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 3920093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116226560).

3920093760 is an abundant number, since it is smaller than the sum of its proper divisors (10312359360).

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

3920093760 is a wasteful number, since it uses less digits than its factorization.

3920093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 3920093760 is about 62610.6521288510. The cubic root of 3920093760 is about 1576.7596035924.

The spelling of 3920093760 in words is "three billion, nine hundred twenty million, ninety-three thousand, seven hundred sixty".