3415950720 has 960 divisors, whose sum is σ = 15599329200. Its totient is φ = 682795008.

The previous prime is 3415950719. The next prime is 3415950721. The reversal of 3415950720 is 270595143.

3415950720 is a `hidden beast` number, since 3 + 41 + 595 + 0 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3415950719) and next prime (3415950721).

It is a tau number, because it is divible by the number of its divisors (960).

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 (3415950721) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 179786871 + ... + 179786889.

Almost surely, 2^3415950720 is an apocalyptic number.

3415950720 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 3415950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799664600).

3415950720 is an abundant number, since it is smaller than the sum of its proper divisors (12183378480).

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

3415950720 is a wasteful number, since it uses less digits than its factorization.

3415950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3415950720 is about 58446.1352015683. The cubic root of 3415950720 is about 1506.0424002496.

The spelling of 3415950720 in words is "three billion, four hundred fifteen million, nine hundred fifty thousand, seven hundred twenty".