3578016960 has 168 divisors, whose sum is σ = 14065093536. Its totient is φ = 817827840.

The previous prime is 3578016947. The next prime is 3578016961. The reversal of 3578016960 is 696108753.

It is a happy number.

3578016960 is a `hidden beast` number, since 3 + 578 + 0 + 16 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3578016961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68581 + ... + 108900.

Almost surely, 2^3578016960 is an apocalyptic number.

3578016960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3578016960 is an abundant number, since it is smaller than the sum of its proper divisors (10487076576).

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

3578016960 is a wasteful number, since it uses less digits than its factorization.

3578016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177511 (or 177498 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3578016960 is about 59816.5274819594. The cubic root of 3578016960 is about 1529.4928987147.

The spelling of 3578016960 in words is "three billion, five hundred seventy-eight million, sixteen thousand, nine hundred sixty".