3543835978368 has 1536 divisors, whose sum is σ = 13777226496000. Its totient is φ = 888413847552.

The previous prime is 3543835978343. The next prime is 3543835978369. The reversal of 3543835978368 is 8638795383453.

3543835978368 is a `hidden beast` number, since 3 + 5 + 438 + 3 + 59 + 7 + 83 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3543835978296 and 3543835978305.

It is not an unprimeable number, because it can be changed into a prime (3543835978369) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3664773021 + ... + 3664773987.

It is an arithmetic number, because the mean of its divisors is an integer number (8969548500).

Almost surely, 2^{3543835978368} is an apocalyptic number.

3543835978368 is a gapful number since it is divisible by the number (38) 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 3543835978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888613248000).

3543835978368 is an abundant number, since it is smaller than the sum of its proper divisors (10233390517632).

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

3543835978368 is a wasteful number, since it uses less digits than its factorization.

3543835978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1082 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 3543835978368 in words is "three trillion, five hundred forty-three billion, eight hundred thirty-five million, nine hundred seventy-eight thousand, three hundred sixty-eight".