3669153935040 has 504 divisors, whose sum is σ = 14194628592144. Its totient is φ = 868802457600.

The previous prime is 3669153935017. The next prime is 3669153935059. The reversal of 3669153935040 is 405393519663.

3669153935040 is a `hidden beast` number, since 3 + 6 + 69 + 1 + 539 + 3 + 5 + 0 + 40 = 666.

It is a super-3 number, since 3×3669153935040³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14862210 + ... + 15107070.

Almost surely, 2^{3669153935040} is an apocalyptic number.

3669153935040 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 3669153935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097314296072).

3669153935040 is an abundant number, since it is smaller than the sum of its proper divisors (10525474657104).

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

3669153935040 is a wasteful number, since it uses less digits than its factorization.

3669153935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244949 (or 244925 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 3669153935040 in words is "three trillion, six hundred sixty-nine billion, one hundred fifty-three million, nine hundred thirty-five thousand, forty".