3973769856 has 576 divisors, whose sum is σ = 14570697960. Its totient is φ = 1032192000.

The previous prime is 3973769837. The next prime is 3973769861. The reversal of 3973769856 is 6589673793.

3973769856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3760142400 + 213627456 = 61320^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3973769793 and 3973769802.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39344206 + ... + 39344306.

Almost surely, 2^3973769856 is an apocalyptic number.

3973769856 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 3973769856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285348980).

3973769856 is an abundant number, since it is smaller than the sum of its proper divisors (10596928104).

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

3973769856 is a wasteful number, since it uses less digits than its factorization.

3973769856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The square root of 3973769856 is about 63037.8446332043. The cubic root of 3973769856 is about 1583.9236265595.

The spelling of 3973769856 in words is "three billion, nine hundred seventy-three million, seven hundred sixty-nine thousand, eight hundred fifty-six".