3480538950 has 288 divisors, whose sum is σ = 11419269120. Its totient is φ = 762825600.

The previous prime is 3480538891. The next prime is 3480538951. The reversal of 3480538950 is 598350843.

It is a happy number.

3480538950 is a `hidden beast` number, since 34 + 80 + 538 + 9 + 5 + 0 = 666.

It is a super-2 number, since 2×3480538950² = 24228302764934205000, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3480538896 and 3480538905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480538951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31931496 + ... + 31931604.

It is an arithmetic number, because the mean of its divisors is an integer number (39650240).

Almost surely, 2^3480538950 is an apocalyptic number.

3480538950 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 3480538950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709634560).

3480538950 is an abundant number, since it is smaller than the sum of its proper divisors (7938730170).

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

3480538950 is a wasteful number, since it uses less digits than its factorization.

3480538950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3480538950 is about 58996.0926672267. The cubic root of 3480538950 is about 1515.4751964881.

The spelling of 3480538950 in words is "three billion, four hundred eighty million, five hundred thirty-eight thousand, nine hundred fifty".