3480291360 has 720 divisors, whose sum is σ = 15266978496. Its totient is φ = 731068416.

The previous prime is 3480291319. The next prime is 3480291371. The reversal of 3480291360 is 631920843.

3480291360 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 291 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3480291360² = 24224855900981299200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15331567 + ... + 15331793.

Almost surely, 2^3480291360 is an apocalyptic number.

3480291360 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 3480291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633489248).

3480291360 is an abundant number, since it is smaller than the sum of its proper divisors (11786687136).

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

3480291360 is a wasteful number, since it uses less digits than its factorization.

3480291360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3480291360 is about 58993.9942706035. The cubic root of 3480291360 is about 1515.4392609231.

The spelling of 3480291360 in words is "three billion, four hundred eighty million, two hundred ninety-one thousand, three hundred sixty".