3973196040 has 256 divisors, whose sum is σ = 13536460800. Its totient is φ = 924134400.

The previous prime is 3973196033. The next prime is 3973196041. The reversal of 3973196040 is 406913793.

It is a junction number, because it is equal to n+sod(n) for n = 3973195983 and 3973196001.

It is not an unprimeable number, because it can be changed into a prime (3973196041) 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 63 ways as a sum of consecutive naturals, for example, 10373689 + ... + 10374071.

It is an arithmetic number, because the mean of its divisors is an integer number (52876800).

Almost surely, 2^3973196040 is an apocalyptic number.

3973196040 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 3973196040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768230400).

3973196040 is an abundant number, since it is smaller than the sum of its proper divisors (9563264760).

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

3973196040 is a wasteful number, since it uses less digits than its factorization.

3973196040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 3973196040 is about 63033.2931076903. The cubic root of 3973196040 is about 1583.8473828829.

The spelling of 3973196040 in words is "three billion, nine hundred seventy-three million, one hundred ninety-six thousand, forty".