3578568000 has 672 divisors, whose sum is σ = 14635520640. Its totient is φ = 765542400.

The previous prime is 3578567969. The next prime is 3578568001. The reversal of 3578568000 is 8658753.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3578568000² = 25612297861248000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3578568001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19991911 + ... + 19992089.

Almost surely, 2^3578568000 is an apocalyptic number.

3578568000 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 3578568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317760320).

3578568000 is an abundant number, since it is smaller than the sum of its proper divisors (11056952640).

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

3578568000 is a wasteful number, since it uses less digits than its factorization.

3578568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 3578568000 is about 59821.1333894636. The cubic root of 3578568000 is about 1529.5714122707.

The spelling of 3578568000 in words is "three billion, five hundred seventy-eight million, five hundred sixty-eight thousand".