3967130880 has 432 divisors, whose sum is σ = 14876918784. Its totient is φ = 972226560.

The previous prime is 3967130879. The next prime is 3967130891. The reversal of 3967130880 is 880317693.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 9204265 + ... + 9204695.

It is an arithmetic number, because the mean of its divisors is an integer number (34437312).

Almost surely, 2^3967130880 is an apocalyptic number.

3967130880 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 3967130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438459392).

3967130880 is an abundant number, since it is smaller than the sum of its proper divisors (10909787904).

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

3967130880 is a wasteful number, since it uses less digits than its factorization.

3967130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 505 counting only the distinct ones).

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

The square root of 3967130880 is about 62985.1639673979. The cubic root of 3967130880 is about 1583.0410479738.

The spelling of 3967130880 in words is "three billion, nine hundred sixty-seven million, one hundred thirty thousand, eight hundred eighty".