3480923808 has 240 divisors, whose sum is σ = 10921685544. Its totient is φ = 1083801600.

The previous prime is 3480923807. The next prime is 3480923813. The reversal of 3480923808 is 8083290843.

3480923808 is a `hidden beast` number, since 3 + 480 + 92 + 3 + 80 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2904347664 + 576576144 = 53892^2 + 24012^2 .

It is not an unprimeable number, because it can be changed into a prime (3480923807) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8680408 + ... + 8680808.

Almost surely, 2^3480923808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480923808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460842772).

3480923808 is an abundant number, since it is smaller than the sum of its proper divisors (7440761736).

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

3480923808 is a wasteful number, since it uses less digits than its factorization.

3480923808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3480923808 is about 58999.3543015515. The cubic root of 3480923808 is about 1515.5310519429.

The spelling of 3480923808 in words is "three billion, four hundred eighty million, nine hundred twenty-three thousand, eight hundred eight".