3967017120 has 240 divisors, whose sum is σ = 15273564768. Its totient is φ = 961666560.

The previous prime is 3967017091. The next prime is 3967017127. The reversal of 3967017120 is 217107693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3967017127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128647 + ... + 156473.

Almost surely, 2^3967017120 is an apocalyptic number.

3967017120 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 3967017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7636782384).

3967017120 is an abundant number, since it is smaller than the sum of its proper divisors (11306547648).

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

3967017120 is a wasteful number, since it uses less digits than its factorization.

3967017120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27865 (or 27848 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 3967017120 is about 62984.2608911147. The cubic root of 3967017120 is about 1583.0259162597.

The spelling of 3967017120 in words is "three billion, nine hundred sixty-seven million, seventeen thousand, one hundred twenty".