3480946800 has 120 divisors (see below), whose sum is σ = 11259291264. Its totient is φ = 919207680.

The previous prime is 3480946787. The next prime is 3480946801. The reversal of 3480946800 is 86490843.

3480946800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480946801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109519 + ... + 137681.

Almost surely, 2^3480946800 is an apocalyptic number.

3480946800 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 3480946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629645632).

3480946800 is an abundant number, since it is smaller than the sum of its proper divisors (7778344464).

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

3480946800 is a wasteful number, since it uses less digits than its factorization.

3480946800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28287 (or 28276 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3480946800 is about 58999.5491508198. The cubic root of 3480946800 is about 1515.5343887020.

The spelling of 3480946800 in words is "three billion, four hundred eighty million, nine hundred forty-six thousand, eight hundred".