3561038208000 has 2816 divisors, whose sum is σ = 16537821081600. Its totient is φ = 740125900800.

The previous prime is 3561038207989. The next prime is 3561038208011. The reversal of 3561038208000 is 8028301653.

3561038208000 is a `hidden beast` number, since 3 + 5 + 610 + 38 + 2 + 0 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3561038207989) and next prime (3561038208011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53149823967 + ... + 53149824033.

Almost surely, 2^{3561038208000} is an apocalyptic number.

3561038208000 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 3561038208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268910540800).

3561038208000 is an abundant number, since it is smaller than the sum of its proper divisors (12976782873600).

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

3561038208000 is an equidigital number, since it uses as much as digits as its factorization.

3561038208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3561038208000 in words is "three trillion, five hundred sixty-one billion, thirty-eight million, two hundred eight thousand".