3698287754112 has 576 divisors, whose sum is σ = 12968274908160. Its totient is φ = 1006776207360.

The previous prime is 3698287754047. The next prime is 3698287754113. The reversal of 3698287754112 is 2114577828963.

3698287754112 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 2 + 8 + 77 + 541 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3698287754112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3698287754113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 341448537 + ... + 341459367.

It is an arithmetic number, because the mean of its divisors is an integer number (22514366160).

Almost surely, 2^{3698287754112} is an apocalyptic number.

3698287754112 is a gapful number since it is divisible by the number (32) 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 3698287754112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484137454080).

3698287754112 is an abundant number, since it is smaller than the sum of its proper divisors (9269987154048).

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

3698287754112 is a wasteful number, since it uses less digits than its factorization.

3698287754112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11151 (or 11129 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 3698287754112 in words is "three trillion, six hundred ninety-eight billion, two hundred eighty-seven million, seven hundred fifty-four thousand, one hundred twelve".