3967055040 has 224 divisors, whose sum is σ = 13896904896. Its totient is φ = 952565760.

The previous prime is 3967055033. The next prime is 3967055063. The reversal of 3967055040 is 405507693.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3967055040.

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, 507804 + ... + 515556.

It is an arithmetic number, because the mean of its divisors is an integer number (62039754).

Almost surely, 2^3967055040 is an apocalyptic number.

3967055040 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 3967055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948452448).

3967055040 is an abundant number, since it is smaller than the sum of its proper divisors (9929849856).

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

3967055040 is a wasteful number, since it uses less digits than its factorization.

3967055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7827 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 3967055040 is about 62984.5619179811. The cubic root of 3967055040 is about 1583.0309601965.

The spelling of 3967055040 in words is "three billion, nine hundred sixty-seven million, fifty-five thousand, forty".