3465842688 has 624 divisors, whose sum is σ = 13247140480. Its totient is φ = 875888640.

The previous prime is 3465842669. The next prime is 3465842711. The reversal of 3465842688 is 8862485643.

3465842688 is a `hidden beast` number, since 3 + 465 + 84 + 26 + 88 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (8847360) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93671406 + ... + 93671442.

Almost surely, 2^3465842688 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 3465842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623570240).

3465842688 is an abundant number, since it is smaller than the sum of its proper divisors (9781297792).

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

3465842688 is a wasteful number, since it uses less digits than its factorization.

3465842688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 3465842688 is about 58871.4080687731. The cubic root of 3465842688 is about 1513.3392015056.

The spelling of 3465842688 in words is "three billion, four hundred sixty-five million, eight hundred forty-two thousand, six hundred eighty-eight".