3698044416000 has 1664 divisors, whose sum is σ = 15147096007680. Its totient is φ = 882671616000.

The previous prime is 3698044415993. The next prime is 3698044416037. The reversal of 3698044416000 is 6144408963.

3698044416000 is a `hidden beast` number, since 36 + 9 + 8 + 0 + 4 + 4 + 4 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 12621311854 + ... + 12621312146.

It is an arithmetic number, because the mean of its divisors is an integer number (9102822120).

Almost surely, 2^{3698044416000} is an apocalyptic number.

3698044416000 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 3698044416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573548003840).

3698044416000 is an abundant number, since it is smaller than the sum of its proper divisors (11449051591680).

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

3698044416000 is a wasteful number, since it uses less digits than its factorization.

3698044416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3698044416000 in words is "three trillion, six hundred ninety-eight billion, forty-four million, four hundred sixteen thousand".