3536945520 has 160 divisors (see below), whose sum is σ = 11685537792. Its totient is φ = 882917376.

The previous prime is 3536945509. The next prime is 3536945549. The reversal of 3536945520 is 255496353.

It is a happy number.

It is a super-2 number, since 2×3536945520² = 25019967222896140800, 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252624 + ... + 266256.

Almost surely, 2^3536945520 is an apocalyptic number.

3536945520 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 3536945520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842768896).

3536945520 is an abundant number, since it is smaller than the sum of its proper divisors (8148592272).

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

3536945520 is a wasteful number, since it uses less digits than its factorization.

3536945520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13719 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The square root of 3536945520 is about 59472.2247776220. The cubic root of 3536945520 is about 1523.6181006553.

The spelling of 3536945520 in words is "three billion, five hundred thirty-six million, nine hundred forty-five thousand, five hundred twenty".