3977280 has 84 divisors (see below), whose sum is σ = 13690092. Its totient is φ = 1059840.

The previous prime is 3977273. The next prime is 3977293. The reversal of 3977280 is 827793.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 2359296 = 1272^2 + 1536^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2190 + ... + 3570.

Almost surely, 2^3977280 is an apocalyptic number.

3977280 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 3977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845046).

3977280 is an abundant number, since it is smaller than the sum of its proper divisors (9712812).

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

3977280 is a wasteful number, since it uses less digits than its factorization.

3977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3977280 is about 1994.3119114121. The cubic root of 3977280 is about 158.4389864244.

The spelling of 3977280 in words is "three million, nine hundred seventy-seven thousand, two hundred eighty".