3415523328 has 240 divisors, whose sum is σ = 11575925760. Its totient is φ = 974979072.

The previous prime is 3415523273. The next prime is 3415523359. The reversal of 3415523328 is 8233255143.

3415523328 is a `hidden beast` number, since 3 + 415 + 5 + 233 + 2 + 8 = 666.

It is a super-2 number, since 2×3415523328² = 23331599208224391168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3415523292 and 3415523301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096025 + ... + 3097127.

It is an arithmetic number, because the mean of its divisors is an integer number (48233024).

Almost surely, 2^3415523328 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 3415523328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787962880).

3415523328 is an abundant number, since it is smaller than the sum of its proper divisors (8160402432).

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

3415523328 is an equidigital number, since it uses as much as digits as its factorization.

3415523328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1115 counting only the distinct ones).

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

The square root of 3415523328 is about 58442.4787975322. The cubic root of 3415523328 is about 1505.9795873489.

The spelling of 3415523328 in words is "three billion, four hundred fifteen million, five hundred twenty-three thousand, three hundred twenty-eight".