3826998000 has 360 divisors, whose sum is σ = 15552285840. Its totient is φ = 874540800.

The previous prime is 3826997989. The next prime is 3826998001. The reversal of 3826998000 is 8996283.

3826998000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826998001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 879831 + ... + 884169.

It is an arithmetic number, because the mean of its divisors is an integer number (43200794).

Almost surely, 2^3826998000 is an apocalyptic number.

3826998000 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 3826998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776142920).

3826998000 is an abundant number, since it is smaller than the sum of its proper divisors (11725287840).

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

3826998000 is a wasteful number, since it uses less digits than its factorization.

3826998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3826998000 is about 61862.7351480679. The cubic root of 3826998000 is about 1564.1776583180.

The spelling of 3826998000 in words is "three billion, eight hundred twenty-six million, nine hundred ninety-eight thousand".