3941062400 has 432 divisors, whose sum is σ = 11702063520. Its totient is φ = 1297612800.

The previous prime is 3941062399. The next prime is 3941062487. The reversal of 3941062400 is 42601493.

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, 44281556 + ... + 44281644.

It is an arithmetic number, because the mean of its divisors is an integer number (27088110).

Almost surely, 2^3941062400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3941062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851031760).

3941062400 is an abundant number, since it is smaller than the sum of its proper divisors (7761001120).

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

3941062400 is a wasteful number, since it uses less digits than its factorization.

3941062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3941062400 is about 62777.8814551750. The cubic root of 3941062400 is about 1579.5659759621.

Adding to 3941062400 its reverse (42601493), we get a palindrome (3983663893).

The spelling of 3941062400 in words is "three billion, nine hundred forty-one million, sixty-two thousand, four hundred".