3485407536 has 320 divisors, whose sum is σ = 11190950400. Its totient is φ = 1031906304.

The previous prime is 3485407517. The next prime is 3485407559. The reversal of 3485407536 is 6357045843.

3485407536 is a `hidden beast` number, since 3 + 4 + 8 + 540 + 75 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3485407491 and 3485407500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22199970 + ... + 22200126.

It is an arithmetic number, because the mean of its divisors is an integer number (34971720).

Almost surely, 2^3485407536 is an apocalyptic number.

3485407536 is a gapful number since it is divisible by the number (36) 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 3485407536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595475200).

3485407536 is an abundant number, since it is smaller than the sum of its proper divisors (7705542864).

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

3485407536 is a wasteful number, since it uses less digits than its factorization.

3485407536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 3485407536 is about 59037.3401839886. The cubic root of 3485407536 is about 1516.1814840179.

The spelling of 3485407536 in words is "three billion, four hundred eighty-five million, four hundred seven thousand, five hundred thirty-six".