3563734080 has 224 divisors, whose sum is σ = 11929042944. Its totient is φ = 899610624.

The previous prime is 3563734043. The next prime is 3563734117. The reversal of 3563734080 is 804373653.

It is an interprime number because it is at equal distance from previous prime (3563734043) and next prime (3563734117).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273457 + ... + 2275023.

It is an arithmetic number, because the mean of its divisors is an integer number (53254656).

Almost surely, 2^3563734080 is an apocalyptic number.

3563734080 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 3563734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964521472).

3563734080 is an abundant number, since it is smaller than the sum of its proper divisors (8365308864).

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

3563734080 is a wasteful number, since it uses less digits than its factorization.

3563734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 3563734080 is about 59697.0190210533. The cubic root of 3563734080 is about 1527.4550197789.

The spelling of 3563734080 in words is "three billion, five hundred sixty-three million, seven hundred thirty-four thousand, eighty".