3485892960 has 432 divisors, whose sum is σ = 13467701520. Its totient is φ = 814233600.

The previous prime is 3485892919. The next prime is 3485892967. The reversal of 3485892960 is 692985843.

3485892960 is a `hidden beast` number, since 3 + 485 + 89 + 29 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3485892897 and 3485892906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485892967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15222126 + ... + 15222354.

It is an arithmetic number, because the mean of its divisors is an integer number (31175235).

Almost surely, 2^3485892960 is an apocalyptic number.

3485892960 is a gapful number since it is divisible by the number (30) 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 3485892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733850760).

3485892960 is an abundant number, since it is smaller than the sum of its proper divisors (9981808560).

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

3485892960 is a wasteful number, since it uses less digits than its factorization.

3485892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 3485892960 is about 59041.4512016769. The cubic root of 3485892960 is about 1516.2518685863.

The spelling of 3485892960 in words is "three billion, four hundred eighty-five million, eight hundred ninety-two thousand, nine hundred sixty".