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3485868048 = 2437137997
BaseRepresentation
bin1100111111000110…
…0010000000010000
322222221021110000000
43033301202000100
524114340234143
61333522130000
7152245250415
oct31761420020
98887243000
103485868048
111529755293
128134b0900
1343725c120
14250d6010c
15156069bd3
hexcfc62010

3485868048 has 320 divisors, whose sum is σ = 11160396800. Its totient is φ = 1048080384.

The previous prime is 3485868047. The next prime is 3485868049. The reversal of 3485868048 is 8408685843.

3485868048 is a `hidden beast` number, since 3 + 485 + 86 + 80 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3485868047) and next prime (3485868049).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3485867985 and 3485868003.

It is not an unprimeable number, because it can be changed into a prime (3485868047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35936736 + ... + 35936832.

It is an arithmetic number, because the mean of its divisors is an integer number (34876240).

Almost surely, 23485868048 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 3485868048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580198400).

3485868048 is an abundant number, since it is smaller than the sum of its proper divisors (7674528752).

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

3485868048 is an equidigital number, since it uses as much as digits as its factorization.

3485868048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The square root of 3485868048 is about 59041.2402308759. The cubic root of 3485868048 is about 1516.2482566035.

The spelling of 3485868048 in words is "three billion, four hundred eighty-five million, eight hundred sixty-eight thousand, forty-eight".