3536146350 has 216 divisors, whose sum is σ = 10562433336. Its totient is φ = 847440000.

The previous prime is 3536146331. The next prime is 3536146363. The reversal of 3536146350 is 536416353.

3536146350 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 14 + 635 + 0 = 666.

It is a super-3 number, since 3×3536146350³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5499129 + ... + 5499771.

Almost surely, 2^3536146350 is an apocalyptic number.

3536146350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3536146350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281216668).

3536146350 is an abundant number, since it is smaller than the sum of its proper divisors (7026286986).

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

3536146350 is a wasteful number, since it uses less digits than its factorization.

3536146350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3536146350 is about 59465.5055473339. The cubic root of 3536146350 is about 1523.5033385826.

The spelling of 3536146350 in words is "three billion, five hundred thirty-six million, one hundred forty-six thousand, three hundred fifty".