3442095360 has 432 divisors, whose sum is σ = 13568300928. Its totient is φ = 797491200.

The previous prime is 3442095353. The next prime is 3442095367. The reversal of 3442095360 is 635902443.

3442095360 is a `hidden beast` number, since 344 + 209 + 53 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3442095353) and next prime (3442095367).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442095367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2913970 + ... + 2915150.

It is an arithmetic number, because the mean of its divisors is an integer number (31408104).

Almost surely, 2^3442095360 is an apocalyptic number.

3442095360 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 3442095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784150464).

3442095360 is an abundant number, since it is smaller than the sum of its proper divisors (10126205568).

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

3442095360 is a wasteful number, since it uses less digits than its factorization.

3442095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3442095360 is about 58669.3732708983. The cubic root of 3442095360 is about 1509.8749015554.

The spelling of 3442095360 in words is "three billion, four hundred forty-two million, ninety-five thousand, three hundred sixty".