3977195503680 has 672 divisors, whose sum is σ = 15874147860480. Its totient is φ = 895151738880.

The previous prime is 3977195503661. The next prime is 3977195503733. The reversal of 3977195503680 is 863055917793.

3977195503680 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 19 + 550 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1802081137 + ... + 1802083343.

It is an arithmetic number, because the mean of its divisors is an integer number (23622243840).

Almost surely, 2^{3977195503680} is an apocalyptic number.

3977195503680 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 3977195503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7937073930240).

3977195503680 is an abundant number, since it is smaller than the sum of its proper divisors (11896952356800).

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

3977195503680 is a wasteful number, since it uses less digits than its factorization.

3977195503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 3977195503680 in words is "three trillion, nine hundred seventy-seven billion, one hundred ninety-five million, five hundred three thousand, six hundred eighty".