3977901720 has 288 divisors, whose sum is σ = 14124408480. Its totient is φ = 970444800.

The previous prime is 3977901703. The next prime is 3977901721. The reversal of 3977901720 is 271097793.

3977901720 is a `hidden beast` number, since 397 + 7 + 90 + 172 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977901721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9186624 + ... + 9187056.

It is an arithmetic number, because the mean of its divisors is an integer number (49043085).

Almost surely, 2^3977901720 is an apocalyptic number.

3977901720 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 3977901720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062204240).

3977901720 is an abundant number, since it is smaller than the sum of its proper divisors (10146506760).

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

3977901720 is a wasteful number, since it uses less digits than its factorization.

3977901720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 3977901720 is about 63070.6090029262. The cubic root of 3977901720 is about 1584.4724161009.

The spelling of 3977901720 in words is "three billion, nine hundred seventy-seven million, nine hundred one thousand, seven hundred twenty".