3977400 has 96 divisors (see below), whose sum is σ = 14106240. Its totient is φ = 908160.

The previous prime is 3977387. The next prime is 3977401. The reversal of 3977400 is 47793.

3977400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3727 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (146940).

Almost surely, 2^3977400 is an apocalyptic number.

3977400 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 3977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053120).

3977400 is an abundant number, since it is smaller than the sum of its proper divisors (10128840).

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

3977400 is a wasteful number, since it uses less digits than its factorization.

3977400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 3977400 is about 1994.3419967498. The cubic root of 3977400 is about 158.4405798490.

The spelling of 3977400 in words is "three million, nine hundred seventy-seven thousand, four hundred".