3936794400 has 864 divisors, whose sum is σ = 18016846848. Its totient is φ = 814924800.

The previous prime is 3936794369. The next prime is 3936794417. The reversal of 3936794400 is 44976393.

3936794400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14968669 + ... + 14968931.

It is an arithmetic number, because the mean of its divisors is an integer number (20852832).

Almost surely, 2^3936794400 is an apocalyptic number.

3936794400 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 3936794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008423424).

3936794400 is an abundant number, since it is smaller than the sum of its proper divisors (14080052448).

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

3936794400 is a wasteful number, since it uses less digits than its factorization.

3936794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3936794400 is about 62743.8793827733. The cubic root of 3936794400 is about 1578.9955694759.

The spelling of 3936794400 in words is "three billion, nine hundred thirty-six million, seven hundred ninety-four thousand, four hundred".