3746278416384 has 336 divisors, whose sum is σ = 12444066503232. Its totient is φ = 1063774715904.

The previous prime is 3746278416347. The next prime is 3746278416403. The reversal of 3746278416384 is 4836148726473.

3746278416384 is a `hidden beast` number, since 3 + 7 + 462 + 7 + 8 + 4 + 163 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×3746278416384³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84101382 + ... + 84145914.

It is an arithmetic number, because the mean of its divisors is an integer number (37035912212).

Almost surely, 2^{3746278416384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746278416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222033251616).

3746278416384 is an abundant number, since it is smaller than the sum of its proper divisors (8697788086848).

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

3746278416384 is a wasteful number, since it uses less digits than its factorization.

3746278416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44735 (or 44708 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 3746278416384 in words is "three trillion, seven hundred forty-six billion, two hundred seventy-eight million, four hundred sixteen thousand, three hundred eighty-four".