3808490400 has 864 divisors, whose sum is σ = 16481320128. Its totient is φ = 846028800.

The previous prime is 3808490393. The next prime is 3808490459. The reversal of 3808490400 is 40948083.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27799132 + ... + 27799268.

It is an arithmetic number, because the mean of its divisors is an integer number (19075602).

Almost surely, 2^3808490400 is an apocalyptic number.

3808490400 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 3808490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240660064).

3808490400 is an abundant number, since it is smaller than the sum of its proper divisors (12672829728).

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

3808490400 is a wasteful number, since it uses less digits than its factorization.

3808490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3808490400 is about 61712.9678430717. The cubic root of 3808490400 is about 1561.6520959074.

The spelling of 3808490400 in words is "three billion, eight hundred eight million, four hundred ninety thousand, four hundred".