3543601857600 has 1344 divisors, whose sum is σ = 13945739415552. Its totient is φ = 771047424000.

The previous prime is 3543601857553. The next prime is 3543601857617. The reversal of 3543601857600 is 67581063453.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3543601857600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3543601857600.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16794321495 + ... + 16794321705.

It is an arithmetic number, because the mean of its divisors is an integer number (10376294208).

Almost surely, 2^{3543601857600} is an apocalyptic number.

3543601857600 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 3543601857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972869707776).

3543601857600 is an abundant number, since it is smaller than the sum of its proper divisors (10402137557952).

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

3543601857600 is a wasteful number, since it uses less digits than its factorization.

3543601857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 3543601857600 in words is "three trillion, five hundred forty-three billion, six hundred one million, eight hundred fifty-seven thousand, six hundred".