3695706389760 has 1152 divisors, whose sum is σ = 15194462588928. Its totient is φ = 743178240000.

The previous prime is 3695706389677. The next prime is 3695706389779. The reversal of 3695706389760 is 679836075963.

It is a super-3 number, since 3×3695706389760³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2308372960 + ... + 2308374560.

It is an arithmetic number, because the mean of its divisors is an integer number (13189637664).

Almost surely, 2^{3695706389760} is an apocalyptic number.

3695706389760 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 3695706389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597231294464).

3695706389760 is an abundant number, since it is smaller than the sum of its proper divisors (11498756199168).

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

3695706389760 is a wasteful number, since it uses less digits than its factorization.

3695706389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 69.

The spelling of 3695706389760 in words is "three trillion, six hundred ninety-five billion, seven hundred six million, three hundred eighty-nine thousand, seven hundred sixty".