3560284022400 has 1536 divisors, whose sum is σ = 15997190400000. Its totient is φ = 770826792960.

The previous prime is 3560284022377. The next prime is 3560284022411. The reversal of 3560284022400 is 42204820653.

3560284022400 is a `hidden beast` number, since 3 + 5 + 6 + 0 + 2 + 8 + 402 + 240 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 563065639 + ... + 563071961.

It is an arithmetic number, because the mean of its divisors is an integer number (10414837500).

Almost surely, 2^{3560284022400} is an apocalyptic number.

3560284022400 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 3560284022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998595200000).

3560284022400 is an abundant number, since it is smaller than the sum of its proper divisors (12436906377600).

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

3560284022400 is a wasteful number, since it uses less digits than its factorization.

3560284022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 3560284022400 in words is "three trillion, five hundred sixty billion, two hundred eighty-four million, twenty-two thousand, four hundred".