3977271720 has 320 divisors, whose sum is σ = 14273392320. Its totient is φ = 989853696.

The previous prime is 3977271709. The next prime is 3977271731. The reversal of 3977271720 is 271727793.

It is an interprime number because it is at equal distance from previous prime (3977271709) and next prime (3977271731).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8977819 + ... + 8978261.

It is an arithmetic number, because the mean of its divisors is an integer number (44604351).

Almost surely, 2^3977271720 is an apocalyptic number.

3977271720 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 3977271720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136696160).

3977271720 is an abundant number, since it is smaller than the sum of its proper divisors (10296120600).

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

3977271720 is a wasteful number, since it uses less digits than its factorization.

3977271720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 3977271720 is about 63065.6144027790. The cubic root of 3977271720 is about 1584.3887647696.

The spelling of 3977271720 in words is "three billion, nine hundred seventy-seven million, two hundred seventy-one thousand, seven hundred twenty".