3414825960 has 256 divisors, whose sum is σ = 12686284800. Its totient is φ = 716055552.

The previous prime is 3414825913. The next prime is 3414825961. The reversal of 3414825960 is 695284143.

3414825960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3414825960² = 23322072674179843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3414825961) 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, 1953807 + ... + 1955553.

It is an arithmetic number, because the mean of its divisors is an integer number (49555800).

Almost surely, 2^3414825960 is an apocalyptic number.

3414825960 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 3414825960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343142400).

3414825960 is an abundant number, since it is smaller than the sum of its proper divisors (9271458840).

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

3414825960 is a wasteful number, since it uses less digits than its factorization.

3414825960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3414825960 is about 58436.5122162506. The cubic root of 3414825960 is about 1505.8770853937.

The spelling of 3414825960 in words is "three billion, four hundred fourteen million, eight hundred twenty-five thousand, nine hundred sixty".