3512643264 has 252 divisors, whose sum is σ = 11117464176. Its totient is φ = 1054070784.

The previous prime is 3512643257. The next prime is 3512643287. The reversal of 3512643264 is 4623462153.

3512643264 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 643 + 2 + 6 + 4 = 666.

3512643264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 21033709 + ... + 21033875.

Almost surely, 2^3512643264 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 3512643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558732088).

3512643264 is an abundant number, since it is smaller than the sum of its proper divisors (7604820912).

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

3512643264 is a wasteful number, since it uses less digits than its factorization.

3512643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 238 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3512643264 is about 59267.5565887442. The cubic root of 3512643264 is about 1520.1204982958.

The spelling of 3512643264 in words is "three billion, five hundred twelve million, six hundred forty-three thousand, two hundred sixty-four".