3966657480 has 160 divisors (see below), whose sum is σ = 13414040640. Its totient is φ = 1051297920.

The previous prime is 3966657469. The next prime is 3966657517. The reversal of 3966657480 is 847566693.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 537415 + ... + 544745.

It is an arithmetic number, because the mean of its divisors is an integer number (83837754).

Almost surely, 2^3966657480 is an apocalyptic number.

3966657480 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 3966657480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707020320).

3966657480 is an abundant number, since it is smaller than the sum of its proper divisors (9447383160).

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

3966657480 is a wasteful number, since it uses less digits than its factorization.

3966657480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7521 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3966657480 is about 62981.4058274345. The cubic root of 3966657480 is about 1582.9780770707.

The spelling of 3966657480 in words is "three billion, nine hundred sixty-six million, six hundred fifty-seven thousand, four hundred eighty".