3902438400 has 792 divisors, whose sum is σ = 16146506736. Its totient is φ = 825753600.

The previous prime is 3902438381. The next prime is 3902438401. The reversal of 3902438400 is 48342093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3902438401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 63974370 + ... + 63974430.

Almost surely, 2^3902438400 is an apocalyptic number.

3902438400 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 3902438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073253368).

3902438400 is an abundant number, since it is smaller than the sum of its proper divisors (12244068336).

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

3902438400 is a wasteful number, since it uses less digits than its factorization.

3902438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3902438400 is about 62469.4997578818. The cubic root of 3902438400 is about 1574.3888987253.

The spelling of 3902438400 in words is "three billion, nine hundred two million, four hundred thirty-eight thousand, four hundred".