3967310880 has 384 divisors, whose sum is σ = 15327325440. Its totient is φ = 952197120.

The previous prime is 3967310869. The next prime is 3967310881. The reversal of 3967310880 is 880137693.

It is a happy number.

It is a super-4 number, since 4×3967310880⁴ (a number of 39 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3967310881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2301699 + ... + 2303421.

It is an arithmetic number, because the mean of its divisors is an integer number (39914910).

Almost surely, 2^3967310880 is an apocalyptic number.

3967310880 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 3967310880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663662720).

3967310880 is an abundant number, since it is smaller than the sum of its proper divisors (11360014560).

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

3967310880 is a wasteful number, since it uses less digits than its factorization.

3967310880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3967310880 is about 62986.5928591157. The cubic root of 3967310880 is about 1583.0649899685.

The spelling of 3967310880 in words is "three billion, nine hundred sixty-seven million, three hundred ten thousand, eight hundred eighty".