3536484160 has 224 divisors, whose sum is σ = 9832067712. Its totient is φ = 1197342720.

The previous prime is 3536484053. The next prime is 3536484167. The reversal of 3536484160 is 614846353.

It is a super-4 number, since 4×3536484160⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3536484167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6761659 + ... + 6762181.

Almost surely, 2^3536484160 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 3536484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916033856).

3536484160 is an abundant number, since it is smaller than the sum of its proper divisors (6295583552).

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

3536484160 is a wasteful number, since it uses less digits than its factorization.

3536484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 3536484160 is about 59468.3458656788. The cubic root of 3536484160 is about 1523.5518507410.

The spelling of 3536484160 in words is "three billion, five hundred thirty-six million, four hundred eighty-four thousand, one hundred sixty".