3973495680 has 1152 divisors, whose sum is σ = 18758338560. Its totient is φ = 752025600.

The previous prime is 3973495679. The next prime is 3973495703. The reversal of 3973495680 is 865943793.

3973495680 is a `hidden beast` number, since 3 + 9 + 73 + 4 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 128177265 + ... + 128177295.

It is an arithmetic number, because the mean of its divisors is an integer number (16283280).

Almost surely, 2^3973495680 is an apocalyptic number.

3973495680 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 3973495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9379169280).

3973495680 is an abundant number, since it is smaller than the sum of its proper divisors (14784842880).

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

3973495680 is a wasteful number, since it uses less digits than its factorization.

3973495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3973495680 is about 63035.6699020483. The cubic root of 3973495680 is about 1583.8871973543.

The spelling of 3973495680 in words is "three billion, nine hundred seventy-three million, four hundred ninety-five thousand, six hundred eighty".