3654827205120 has 2400 divisors, whose sum is σ = 16596697886208. Its totient is φ = 752340566016.

The previous prime is 3654827205109. The next prime is 3654827205137. The reversal of 3654827205120 is 215027284563.

3654827205120 is a `hidden beast` number, since 3 + 6 + 54 + 82 + 7 + 2 + 0 + 512 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11529423202 + ... + 11529423518.

Almost surely, 2^{3654827205120} is an apocalyptic number.

3654827205120 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 3654827205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298348943104).

3654827205120 is an abundant number, since it is smaller than the sum of its proper divisors (12941870681088).

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

3654827205120 is a wasteful number, since it uses less digits than its factorization.

3654827205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3654827205120 in words is "three trillion, six hundred fifty-four billion, eight hundred twenty-seven million, two hundred five thousand, one hundred twenty".