3936854400 has 384 divisors, whose sum is σ = 13659840000. Its totient is φ = 995205120.

The previous prime is 3936854381. The next prime is 3936854413. The reversal of 3936854400 is 44586393.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21993511 + ... + 21993689.

It is an arithmetic number, because the mean of its divisors is an integer number (35572500).

Almost surely, 2^3936854400 is an apocalyptic number.

3936854400 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 3936854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829920000).

3936854400 is an abundant number, since it is smaller than the sum of its proper divisors (9722985600).

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

3936854400 is a wasteful number, since it uses less digits than its factorization.

3936854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3936854400 is about 62744.3575152380. The cubic root of 3936854400 is about 1579.0035911676.

The spelling of 3936854400 in words is "three billion, nine hundred thirty-six million, eight hundred fifty-four thousand, four hundred".