3691874776320 has 648 divisors, whose sum is σ = 13557071972808. Its totient is φ = 926889246720.

The previous prime is 3691874776319. The next prime is 3691874776333. The reversal of 3691874776320 is 236774781963.

3691874776320 is a `hidden beast` number, since 3 + 6 + 9 + 1 + 87 + 477 + 63 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 944130928896 + 2747743847424 = 971664^2 + 1657632^2 .

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 409612134 + ... + 409621146.

Almost surely, 2^{3691874776320} is an apocalyptic number.

3691874776320 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 3691874776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778535986404).

3691874776320 is an abundant number, since it is smaller than the sum of its proper divisors (9865197196488).

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

3691874776320 is a wasteful number, since it uses less digits than its factorization.

3691874776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 3691874776320 in words is "three trillion, six hundred ninety-one billion, eight hundred seventy-four million, seven hundred seventy-six thousand, three hundred twenty".