3698556370416 has 240 divisors, whose sum is σ = 10523692333440. Its totient is φ = 1212474032640.

The previous prime is 3698556370393. The next prime is 3698556370441. The reversal of 3698556370416 is 6140736558963.

3698556370416 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 556 + 3 + 70 + 4 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (63) 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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312008655 + ... + 1312011473.

It is an arithmetic number, because the mean of its divisors is an integer number (43848718056).

Almost surely, 2^{3698556370416} is an apocalyptic number.

3698556370416 is a gapful number since it is divisible by the number (36) 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 3698556370416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261846166720).

3698556370416 is an abundant number, since it is smaller than the sum of its proper divisors (6825135963024).

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

3698556370416 is a wasteful number, since it uses less digits than its factorization.

3698556370416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 3698556370416 in words is "three trillion, six hundred ninety-eight billion, five hundred fifty-six million, three hundred seventy thousand, four hundred sixteen".