3413528352 has 192 divisors, whose sum is σ = 10810920960. Its totient is φ = 1041610752.

The previous prime is 3413528347. The next prime is 3413528357. The reversal of 3413528352 is 2538253143.

3413528352 is a `hidden beast` number, since 341 + 35 + 283 + 5 + 2 = 666.

3413528352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3413528347) and next prime (3413528357).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3413528357) 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, 1425268 + ... + 1427660.

It is an arithmetic number, because the mean of its divisors is an integer number (56306880).

Almost surely, 2^3413528352 is an apocalyptic number.

3413528352 is a gapful number since it is divisible by the number (32) 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 3413528352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405460480).

3413528352 is an abundant number, since it is smaller than the sum of its proper divisors (7397392608).

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

3413528352 is a wasteful number, since it uses less digits than its factorization.

3413528352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2538 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 3413528352 is about 58425.4084452989. The cubic root of 3413528352 is about 1505.6863205997.

The spelling of 3413528352 in words is "three billion, four hundred thirteen million, five hundred twenty-eight thousand, three hundred fifty-two".