3826630080 has 896 divisors, whose sum is σ = 17259970560. Its totient is φ = 776355840.

The previous prime is 3826630057. The next prime is 3826630097. The reversal of 3826630080 is 800366283.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24373362 + ... + 24373518.

It is an arithmetic number, because the mean of its divisors is an integer number (19263360).

Almost surely, 2^3826630080 is an apocalyptic number.

3826630080 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 3826630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629985280).

3826630080 is an abundant number, since it is smaller than the sum of its proper divisors (13433340480).

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

3826630080 is a wasteful number, since it uses less digits than its factorization.

3826630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

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

The square root of 3826630080 is about 61859.7613962421. The cubic root of 3826630080 is about 1564.1275310653.

The spelling of 3826630080 in words is "three billion, eight hundred twenty-six million, six hundred thirty thousand, eighty".