3422695680 has 216 divisors, whose sum is σ = 12539486232. Its totient is φ = 858980352.

The previous prime is 3422695657. The next prime is 3422695729. The reversal of 3422695680 is 865962243.

3422695680 is a `hidden beast` number, since 3 + 4 + 22 + 69 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165482496 + 3257213184 = 12864^2 + 57072^2 .

It is a super-4 number, since 4×3422695680⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187102 + ... + 204578.

It is an arithmetic number, because the mean of its divisors is an integer number (58053177).

Almost surely, 2^3422695680 is an apocalyptic number.

3422695680 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 3422695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269743116).

3422695680 is an abundant number, since it is smaller than the sum of its proper divisors (9116790552).

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

3422695680 is a wasteful number, since it uses less digits than its factorization.

3422695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17521 (or 17504 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3422695680 is about 58503.8091067582. The cubic root of 3422695680 is about 1507.0329997396.

The spelling of 3422695680 in words is "three billion, four hundred twenty-two million, six hundred ninety-five thousand, six hundred eighty".