3973777920 has 640 divisors, whose sum is σ = 16593223680. Its totient is φ = 882524160.

The previous prime is 3973777891. The next prime is 3973777943. The reversal of 3973777920 is 297773793.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

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, 20805025 + ... + 20805215.

It is an arithmetic number, because the mean of its divisors is an integer number (25926912).

Almost surely, 2^3973777920 is an apocalyptic number.

3973777920 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 3973777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296611840).

3973777920 is an abundant number, since it is smaller than the sum of its proper divisors (12619445760).

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

3973777920 is a wasteful number, since it uses less digits than its factorization.

3973777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3500658, while the sum is 54.

The square root of 3973777920 is about 63037.9085947496. The cubic root of 3973777920 is about 1583.9246979813.

The spelling of 3973777920 in words is "three billion, nine hundred seventy-three million, seven hundred seventy-seven thousand, nine hundred twenty".