3536462160 has 480 divisors, whose sum is σ = 15309853440. Its totient is φ = 734469120.

The previous prime is 3536462143. The next prime is 3536462173. The reversal of 3536462160 is 612646353.

3536462160 is a `hidden beast` number, since 3 + 5 + 3 + 646 + 2 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×3536462160² = 25013129218223731200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1828554 + ... + 1830486.

It is an arithmetic number, because the mean of its divisors is an integer number (31895528).

Almost surely, 2^3536462160 is an apocalyptic number.

3536462160 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 3536462160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654926720).

3536462160 is an abundant number, since it is smaller than the sum of its proper divisors (11773391280).

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

3536462160 is a wasteful number, since it uses less digits than its factorization.

3536462160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3536462160 is about 59468.1608930359. The cubic root of 3536462160 is about 1523.5486914629.

The spelling of 3536462160 in words is "three billion, five hundred thirty-six million, four hundred sixty-two thousand, one hundred sixty".