3936801792 has 528 divisors, whose sum is σ = 14113491840. Its totient is φ = 951582720.

The previous prime is 3936801773. The next prime is 3936801797. The reversal of 3936801792 is 2971086393.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×3936801792² = 30996816698988822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3936801797) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 44233684 + ... + 44233772.

Almost surely, 2^3936801792 is an apocalyptic number.

3936801792 is a gapful number since it is divisible by the number (32) 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 3936801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056745920).

3936801792 is an abundant number, since it is smaller than the sum of its proper divisors (10176690048).

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

3936801792 is a wasteful number, since it uses less digits than its factorization.

3936801792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 3936801792 is about 62743.9382888897. The cubic root of 3936801792 is about 1578.9965577527.

The spelling of 3936801792 in words is "three billion, nine hundred thirty-six million, eight hundred one thousand, seven hundred ninety-two".