3480417600 has 336 divisors, whose sum is σ = 12891942720. Its totient is φ = 814284800.

The previous prime is 3480417593. The next prime is 3480417607. The reversal of 3480417600 is 67140843.

It is an interprime number because it is at equal distance from previous prime (3480417593) and next prime (3480417607).

It is a super-2 number, since 2×3480417600² = 24226613340779520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480417607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1530064 + ... + 1532336.

Almost surely, 2^3480417600 is an apocalyptic number.

3480417600 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 3480417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445971360).

3480417600 is an abundant number, since it is smaller than the sum of its proper divisors (9411525120).

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

3480417600 is a wasteful number, since it uses less digits than its factorization.

3480417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3480417600 is about 58995.0642003210. The cubic root of 3480417600 is about 1515.4575837894.

The spelling of 3480417600 in words is "three billion, four hundred eighty million, four hundred seventeen thousand, six hundred".