3481407360 has 96 divisors (see below), whose sum is σ = 12021754680. Its totient is φ = 928373760.

The previous prime is 3481407331. The next prime is 3481407401. The reversal of 3481407360 is 637041843.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296446 + ... + 307965.

Almost surely, 2^3481407360 is an apocalyptic number.

3481407360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3481407360 is an abundant number, since it is smaller than the sum of its proper divisors (8540347320).

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

3481407360 is a wasteful number, since it uses less digits than its factorization.

3481407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604436 (or 604421 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3481407360 is about 59003.4521023982. The cubic root of 3481407360 is about 1515.6012252819.

The spelling of 3481407360 in words is "three billion, four hundred eighty-one million, four hundred seven thousand, three hundred sixty".