3973950396 has 480 divisors, whose sum is σ = 13113999360. Its totient is φ = 1034643456.

The previous prime is 3973950391. The next prime is 3973950401. The reversal of 3973950396 is 6930593793.

It is an interprime number because it is at equal distance from previous prime (3973950391) and next prime (3973950401).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973950391) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31290885 + ... + 31291011.

It is an arithmetic number, because the mean of its divisors is an integer number (27320832).

Almost surely, 2^3973950396 is an apocalyptic number.

3973950396 is a gapful number since it is divisible by the number (36) 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 3973950396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556999680).

3973950396 is an abundant number, since it is smaller than the sum of its proper divisors (9140048964).

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

3973950396 is a wasteful number, since it uses less digits than its factorization.

3973950396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4133430, while the sum is 54.

The square root of 3973950396 is about 63039.2766138699. The cubic root of 3973950396 is about 1583.9476136256.

The spelling of 3973950396 in words is "three billion, nine hundred seventy-three million, nine hundred fifty thousand, three hundred ninety-six".