3512573064 has 576 divisors, whose sum is σ = 13483791360. Its totient is φ = 800616960.

The previous prime is 3512572969. The next prime is 3512573101. The reversal of 3512573064 is 4603752153.

3512573064 is a `hidden beast` number, since 3 + 512 + 57 + 30 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21549447 + ... + 21549609.

It is an arithmetic number, because the mean of its divisors is an integer number (23409360).

Almost surely, 2^3512573064 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 3512573064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741895680).

3512573064 is an abundant number, since it is smaller than the sum of its proper divisors (9971218296).

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

3512573064 is a wasteful number, since it uses less digits than its factorization.

3512573064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3512573064 is about 59266.9643562078. The cubic root of 3512573064 is about 1520.1103717176.

Subtracting 3512573064 from its reverse (4603752153), we obtain a square (1091179089 = 33033²).

The spelling of 3512573064 in words is "three billion, five hundred twelve million, five hundred seventy-three thousand, sixty-four".