3547950560 has 384 divisors, whose sum is σ = 11496038400. Its totient is φ = 1000581120.

The previous prime is 3547950559. The next prime is 3547950563. The reversal of 3547950560 is 650597453.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3547950563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5383511 + ... + 5384169.

It is an arithmetic number, because the mean of its divisors is an integer number (29937600).

Almost surely, 2^3547950560 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 3547950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748019200).

3547950560 is an abundant number, since it is smaller than the sum of its proper divisors (7948087840).

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

3547950560 is a wasteful number, since it uses less digits than its factorization.

3547950560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 44.

The square root of 3547950560 is about 59564.6754377122. The cubic root of 3547950560 is about 1525.1966866263.

The spelling of 3547950560 in words is "three billion, five hundred forty-seven million, nine hundred fifty thousand, five hundred sixty".