3547479936 has 384 divisors, whose sum is σ = 12762892800. Its totient is φ = 849530880.

The previous prime is 3547479931. The next prime is 3547479967. The reversal of 3547479936 is 6399747453.

3547479936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3547479936² = 25169227792645128192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3547479931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4227805 + ... + 4228643.

It is an arithmetic number, because the mean of its divisors is an integer number (33236700).

Almost surely, 2^3547479936 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 3547479936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381446400).

3547479936 is an abundant number, since it is smaller than the sum of its proper divisors (9215412864).

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

3547479936 is a wasteful number, since it uses less digits than its factorization.

3547479936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 875 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 57.

The square root of 3547479936 is about 59560.7247773228. The cubic root of 3547479936 is about 1525.1292461990.

The spelling of 3547479936 in words is "three billion, five hundred forty-seven million, four hundred seventy-nine thousand, nine hundred thirty-six".