3578873760 has 1152 divisors, whose sum is σ = 16754169600. Its totient is φ = 704471040.

The previous prime is 3578873747. The next prime is 3578873827. The reversal of 3578873760 is 673788753.

3578873760 is a `hidden beast` number, since 3 + 578 + 8 + 7 + 3 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3578873697 and 3578873706.

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, 67525894 + ... + 67525946.

It is an arithmetic number, because the mean of its divisors is an integer number (14543550).

Almost surely, 2^3578873760 is an apocalyptic number.

3578873760 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 3578873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377084800).

3578873760 is an abundant number, since it is smaller than the sum of its proper divisors (13175295840).

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

3578873760 is a wasteful number, since it uses less digits than its factorization.

3578873760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 3578873760 is about 59823.6889534572. The cubic root of 3578873760 is about 1529.6149742426.

The spelling of 3578873760 in words is "three billion, five hundred seventy-eight million, eight hundred seventy-three thousand, seven hundred sixty".