3407827950 has 120 divisors (see below), whose sum is σ = 9499782600. Its totient is φ = 905774400.

The previous prime is 3407827949. The next prime is 3407827987. The reversal of 3407827950 is 597287043.

It is a super-2 number, since 2×3407827950² = 23226582673602405000, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3407827896 and 3407827905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1412245 + ... + 1414655.

It is an arithmetic number, because the mean of its divisors is an integer number (79164855).

Almost surely, 2^3407827950 is an apocalyptic number.

3407827950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407827950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749891300).

3407827950 is an abundant number, since it is smaller than the sum of its proper divisors (6091954650).

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

3407827950 is a wasteful number, since it uses less digits than its factorization.

3407827950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3407827950 is about 58376.6044747380. The cubic root of 3407827950 is about 1504.8477162208.

The spelling of 3407827950 in words is "three billion, four hundred seven million, eight hundred twenty-seven thousand, nine hundred fifty".