3539952000 has 768 divisors, whose sum is σ = 14364080640. Its totient is φ = 829440000.

The previous prime is 3539951953. The next prime is 3539952043. The reversal of 3539952000 is 2599353.

3539952000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 58031970 + ... + 58032030.

It is an arithmetic number, because the mean of its divisors is an integer number (18703230).

Almost surely, 2^3539952000 is an apocalyptic number.

3539952000 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 3539952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182040320).

3539952000 is an abundant number, since it is smaller than the sum of its proper divisors (10824128640).

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

3539952000 is a wasteful number, since it uses less digits than its factorization.

3539952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 3539952000 is about 59497.4957456194. The cubic root of 3539952000 is about 1524.0496811465.

The spelling of 3539952000 in words is "three billion, five hundred thirty-nine million, nine hundred fifty-two thousand".