3940300800 has 432 divisors, whose sum is σ = 14971385520. Its totient is φ = 986972160.

The previous prime is 3940300799. The next prime is 3940300811. The reversal of 3940300800 is 80030493.

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 35 ways as a sum of consecutive naturals, for example, 7833349 + ... + 7833851.

It is an arithmetic number, because the mean of its divisors is an integer number (34655985).

Almost surely, 2^3940300800 is an apocalyptic number.

3940300800 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 3940300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485692760).

3940300800 is an abundant number, since it is smaller than the sum of its proper divisors (11031084720).

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

3940300800 is a wasteful number, since it uses less digits than its factorization.

3940300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3940300800 is about 62771.8153314049. The cubic root of 3940300800 is about 1579.4642204095.

The spelling of 3940300800 in words is "three billion, nine hundred forty million, three hundred thousand, eight hundred".