3965401440 has 1152 divisors, whose sum is σ = 19112163840. Its totient is φ = 754790400.

The previous prime is 3965401423. The next prime is 3965401493. The reversal of 3965401440 is 441045693.

3965401440 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3965401395 and 3965401404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30270175 + ... + 30270305.

It is an arithmetic number, because the mean of its divisors is an integer number (16590420).

Almost surely, 2^3965401440 is an apocalyptic number.

3965401440 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 3965401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556081920).

3965401440 is an abundant number, since it is smaller than the sum of its proper divisors (15146762400).

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

3965401440 is a wasteful number, since it uses less digits than its factorization.

3965401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3965401440 is about 62971.4335234636. The cubic root of 3965401440 is about 1582.8109763741.

The spelling of 3965401440 in words is "three billion, nine hundred sixty-five million, four hundred one thousand, four hundred forty".