3826508400 has 360 divisors, whose sum is σ = 15602657616. Its totient is φ = 856166400.

The previous prime is 3826508383. The next prime is 3826508407. The reversal of 3826508400 is 48056283.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826508407) 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, 511084 + ... + 518516.

Almost surely, 2^3826508400 is an apocalyptic number.

3826508400 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 3826508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801328808).

3826508400 is an abundant number, since it is smaller than the sum of its proper divisors (11776149216).

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

3826508400 is a wasteful number, since it uses less digits than its factorization.

3826508400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7481 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3826508400 is about 61858.7778734756. Note that the first 3 decimals coincide. The cubic root of 3826508400 is about 1564.1109520693.

The spelling of 3826508400 in words is "three billion, eight hundred twenty-six million, five hundred eight thousand, four hundred".