3967742880 has 768 divisors, whose sum is σ = 16068326400. Its totient is φ = 919683072.

The previous prime is 3967742843. The next prime is 3967742921. The reversal of 3967742880 is 882477693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136818706 + ... + 136818734.

It is an arithmetic number, because the mean of its divisors is an integer number (20922300).

Almost surely, 2^3967742880 is an apocalyptic number.

3967742880 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 3967742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8034163200).

3967742880 is an abundant number, since it is smaller than the sum of its proper divisors (12100583520).

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

3967742880 is a wasteful number, since it uses less digits than its factorization.

3967742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3967742880 is about 62990.0220669909. The cubic root of 3967742880 is about 1583.1224478012.

The spelling of 3967742880 in words is "three billion, nine hundred sixty-seven million, seven hundred forty-two thousand, eight hundred eighty".