3967004160 has 480 divisors, whose sum is σ = 16300956672. Its totient is φ = 905748480.

The previous prime is 3967004149. The next prime is 3967004207. The reversal of 3967004160 is 614007693.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354105 + ... + 4355015.

Almost surely, 2^3967004160 is an apocalyptic number.

3967004160 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 3967004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150478336).

3967004160 is an abundant number, since it is smaller than the sum of its proper divisors (12333952512).

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

3967004160 is an frugal number, since it uses more digits than its factorization.

3967004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3967004160 is about 62984.1580081849. The cubic root of 3967004160 is about 1583.0241923752.

The spelling of 3967004160 in words is "three billion, nine hundred sixty-seven million, four thousand, one hundred sixty".