3463115520 has 288 divisors, whose sum is σ = 11676897792. Its totient is φ = 873005056.

The previous prime is 3463115519. The next prime is 3463115521. The reversal of 3463115520 is 255113643.

It is an interprime number because it is at equal distance from previous prime (3463115519) and next prime (3463115521).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3463115521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9979987 + ... + 9980333.

It is an arithmetic number, because the mean of its divisors is an integer number (40544784).

Almost surely, 2^3463115520 is an apocalyptic number.

3463115520 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 3463115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838448896).

3463115520 is an abundant number, since it is smaller than the sum of its proper divisors (8213782272).

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

3463115520 is a wasteful number, since it uses less digits than its factorization.

3463115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3463115520 is about 58848.2414350675. The cubic root of 3463115520 is about 1512.9421635561.

The spelling of 3463115520 in words is "three billion, four hundred sixty-three million, one hundred fifteen thousand, five hundred twenty".