3920003942400 has 4320 divisors, whose sum is σ = 19429238949120. Its totient is φ = 761863864320.

The previous prime is 3920003942399. The next prime is 3920003942497. The reversal of 3920003942400 is 42493000293.

3920003942400 is a `hidden beast` number, since 3 + 9 + 20 + 0 + 0 + 394 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 83404339177 + ... + 83404339223.

It is an arithmetic number, because the mean of its divisors is an integer number (4497509016).

Almost surely, 2^{3920003942400} is an apocalyptic number.

3920003942400 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 3920003942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9714619474560).

3920003942400 is an abundant number, since it is smaller than the sum of its proper divisors (15509235006720).

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

3920003942400 is a wasteful number, since it uses less digits than its factorization.

3920003942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 3920003942400 its reverse (42493000293), we get a palindrome (3962496942693).

The spelling of 3920003942400 in words is "three trillion, nine hundred twenty billion, three million, nine hundred forty-two thousand, four hundred".