3541783378320 has 480 divisors, whose sum is σ = 13890494951424. Its totient is φ = 830915366400.

The previous prime is 3541783378307. The next prime is 3541783378337. The reversal of 3541783378320 is 238733871453.

3541783378320 is a `hidden beast` number, since 3 + 54 + 178 + 33 + 78 + 320 = 666.

3541783378320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6361899 + ... + 6896181.

Almost surely, 2^{3541783378320} is an apocalyptic number.

3541783378320 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 3541783378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945247475712).

3541783378320 is an abundant number, since it is smaller than the sum of its proper divisors (10348711573104).

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

3541783378320 is a wasteful number, since it uses less digits than its factorization.

3541783378320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534353 (or 534335 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3541783378320 in words is "three trillion, five hundred forty-one billion, seven hundred eighty-three million, three hundred seventy-eight thousand, three hundred twenty".