3926802240 has 448 divisors, whose sum is σ = 14556272640. Its totient is φ = 1007769600.

The previous prime is 3926802223. The next prime is 3926802247. The reversal of 3926802240 is 422086293.

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

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 3926802195 and 3926802204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3926802247) 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, 21694950 + ... + 21695130.

It is an arithmetic number, because the mean of its divisors is an integer number (32491680).

Almost surely, 2^3926802240 is an apocalyptic number.

3926802240 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 3926802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278136320).

3926802240 is an abundant number, since it is smaller than the sum of its proper divisors (10629470400).

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

3926802240 is an equidigital number, since it uses as much as digits as its factorization.

3926802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3926802240 is about 62664.2022210448. The cubic root of 3926802240 is about 1577.6585304014.

The spelling of 3926802240 in words is "three billion, nine hundred twenty-six million, eight hundred two thousand, two hundred forty".