3967911360 has 560 divisors, whose sum is σ = 16994672640. Its totient is φ = 858470400.

The previous prime is 3967911323. The next prime is 3967911377. The reversal of 3967911360 is 631197693.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3446785 + ... + 3447935.

Almost surely, 2^3967911360 is an apocalyptic number.

3967911360 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 3967911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497336320).

3967911360 is an abundant number, since it is smaller than the sum of its proper divisors (13026761280).

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

3967911360 is a wasteful number, since it uses less digits than its factorization.

3967911360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 3967911360 is about 62991.3594074616. The cubic root of 3967911360 is about 1583.1448552255.

The spelling of 3967911360 in words is "three billion, nine hundred sixty-seven million, nine hundred eleven thousand, three hundred sixty".