3566868480 has 768 divisors, whose sum is σ = 15410304000. Its totient is φ = 764411904.

The previous prime is 3566868457. The next prime is 3566868491. The reversal of 3566868480 is 848686653.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36771792 + ... + 36771888.

It is an arithmetic number, because the mean of its divisors is an integer number (20065500).

Almost surely, 2^3566868480 is an apocalyptic number.

3566868480 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 3566868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705152000).

3566868480 is an abundant number, since it is smaller than the sum of its proper divisors (11843435520).

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

3566868480 is a wasteful number, since it uses less digits than its factorization.

3566868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 3566868480 is about 59723.2658182722. The cubic root of 3566868480 is about 1527.9027011498.

The spelling of 3566868480 in words is "three billion, five hundred sixty-six million, eight hundred sixty-eight thousand, four hundred eighty".