3733961662368 has 432 divisors, whose sum is σ = 12819592487520. Its totient is φ = 1066011093504.

The previous prime is 3733961662367. The next prime is 3733961662393. The reversal of 3733961662368 is 8632661693373.

It is a happy number.

3733961662368 is a `hidden beast` number, since 3 + 7 + 3 + 3 + 9 + 616 + 6 + 2 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×3733961662368³ (a number of 39 digits) contains 333 as substring.

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 not an unprimeable number, because it can be changed into a prime (3733961662363) 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, 616874830 + ... + 616880882.

It is an arithmetic number, because the mean of its divisors is an integer number (29674982610).

Almost surely, 2^{3733961662368} 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 3733961662368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409796243760).

3733961662368 is an abundant number, since it is smaller than the sum of its proper divisors (9085630825152).

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

3733961662368 is a wasteful number, since it uses less digits than its factorization.

3733961662368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7684 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 63.

The spelling of 3733961662368 in words is "three trillion, seven hundred thirty-three billion, nine hundred sixty-one million, six hundred sixty-two thousand, three hundred sixty-eight".