3573136840 has 384 divisors, whose sum is σ = 10905723360. Its totient is φ = 1040449536.

The previous prime is 3573136811. The next prime is 3573136873. The reversal of 3573136840 is 486313753.

It can be written as a sum of positive squares in 16 ways, for example, as 1162084 + 3571974756 = 1078^2 + 59766^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3573136793 and 3573136802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31620624 + ... + 31620736.

Almost surely, 2^3573136840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3573136840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452861680).

3573136840 is an abundant number, since it is smaller than the sum of its proper divisors (7332586520).

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

3573136840 is a wasteful number, since it uses less digits than its factorization.

3573136840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 3573136840 is about 59775.7211583432. The cubic root of 3573136840 is about 1528.7972149493.

The spelling of 3573136840 in words is "three billion, five hundred seventy-three million, one hundred thirty-six thousand, eight hundred forty".