3698916140160 has 512 divisors, whose sum is σ = 13283383622400. Its totient is φ = 984792453120.

The previous prime is 3698916140119. The next prime is 3698916140173. The reversal of 3698916140160 is 610416198963.

It is a happy number.

3698916140160 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 9 + 1 + 614 + 0 + 16 + 0 = 666.

It is a super-2 number, since 2×3698916140160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3698916140097 and 3698916140106.

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 63 ways as a sum of consecutive naturals, for example, 1059556015 + ... + 1059559505.

Almost surely, 2^{3698916140160} is an apocalyptic number.

3698916140160 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 3698916140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641691811200).

3698916140160 is an abundant number, since it is smaller than the sum of its proper divisors (9584467482240).

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

3698916140160 is an frugal number, since it uses more digits than its factorization.

3698916140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 3698916140160 in words is "three trillion, six hundred ninety-eight billion, nine hundred sixteen million, one hundred forty thousand, one hundred sixty".