3908798400 has 336 divisors, whose sum is σ = 14192223584. Its totient is φ = 935608320.

The previous prime is 3908798393. The next prime is 3908798441. The reversal of 3908798400 is 48978093.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3908798400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2307954 + ... + 2309646.

Almost surely, 2^3908798400 is an apocalyptic number.

3908798400 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 3908798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096111792).

3908798400 is an abundant number, since it is smaller than the sum of its proper divisors (10283425184).

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

3908798400 is a wasteful number, since it uses less digits than its factorization.

3908798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 3908798400 is about 62520.3838759808. The cubic root of 3908798400 is about 1575.2437214170.

The spelling of 3908798400 in words is "three billion, nine hundred eight million, seven hundred ninety-eight thousand, four hundred".