3463990320 has 480 divisors, whose sum is σ = 13536633600. Its totient is φ = 728082432.

The previous prime is 3463990273. The next prime is 3463990333. The reversal of 3463990320 is 230993643.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8267071 + ... + 8267489.

It is an arithmetic number, because the mean of its divisors is an integer number (28201320).

Almost surely, 2^3463990320 is an apocalyptic number.

3463990320 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 3463990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768316800).

3463990320 is an abundant number, since it is smaller than the sum of its proper divisors (10072643280).

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

3463990320 is a wasteful number, since it uses less digits than its factorization.

3463990320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The square root of 3463990320 is about 58855.6736432436. The cubic root of 3463990320 is about 1513.0695450397.

The spelling of 3463990320 in words is "three billion, four hundred sixty-three million, nine hundred ninety thousand, three hundred twenty".