3961440 has 192 divisors, whose sum is σ = 15966720. Its totient is φ = 898560.

The previous prime is 3961439. The next prime is 3961453. The reversal of 3961440 is 441693.

3961440 is a `hidden beast` number, since 3 + 9 + 614 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30175 + ... + 30305.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

Almost surely, 2^3961440 is an apocalyptic number.

3961440 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 3961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

3961440 is an abundant number, since it is smaller than the sum of its proper divisors (12005280).

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

3961440 is a wasteful number, since it uses less digits than its factorization.

3961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3961440 is about 1990.3366549406. The cubic root of 3961440 is about 158.2283724178.

The spelling of 3961440 in words is "three million, nine hundred sixty-one thousand, four hundred forty".