3500786880 has 168 divisors, whose sum is σ = 12749735232. Its totient is φ = 878616576.

The previous prime is 3500786873. The next prime is 3500786903. The reversal of 3500786880 is 886870053.

3500786880 is a `hidden beast` number, since 3 + 500 + 7 + 8 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13209 + ... + 84711.

Almost surely, 2^3500786880 is an apocalyptic number.

3500786880 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 3500786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374867616).

3500786880 is an abundant number, since it is smaller than the sum of its proper divisors (9248948352).

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

3500786880 is a wasteful number, since it uses less digits than its factorization.

3500786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71543 (or 71530 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 3500786880 is about 59167.4478070501. The cubic root of 3500786880 is about 1518.4082598467.

The spelling of 3500786880 in words is "three billion, five hundred million, seven hundred eighty-six thousand, eight hundred eighty".