3926880000 has 540 divisors, whose sum is σ = 14817450648. Its totient is φ = 1036800000.

The previous prime is 3926879987. The next prime is 3926880007. The reversal of 3926880000 is 886293.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3926880007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38879950 + ... + 38880050.

Almost surely, 2^3926880000 is an apocalyptic number.

3926880000 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 3926880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408725324).

3926880000 is an abundant number, since it is smaller than the sum of its proper divisors (10890570648).

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

3926880000 is an frugal number, since it uses more digits than its factorization.

3926880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3926880000 is about 62664.8226679052. The cubic root of 3926880000 is about 1577.6689441266.

The spelling of 3926880000 in words is "three billion, nine hundred twenty-six million, eight hundred eighty thousand".