3537953952 has 96 divisors (see below), whose sum is σ = 10214491392. Its totient is φ = 1065421824.

The previous prime is 3537953879. The next prime is 3537953953. The reversal of 3537953952 is 2593597353.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3537953895 and 3537953904.

It is not an unprimeable number, because it can be changed into a prime (3537953953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28498 + ... + 88814.

It is an arithmetic number, because the mean of its divisors is an integer number (106400952).

Almost surely, 2^3537953952 is an apocalyptic number.

3537953952 is a gapful number since it is divisible by the number (32) 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 3537953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107245696).

3537953952 is an abundant number, since it is smaller than the sum of its proper divisors (6676537440).

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

3537953952 is a wasteful number, since it uses less digits than its factorization.

3537953952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60390 (or 60382 counting only the distinct ones).

The product of its digits is 3827250, while the sum is 51.

The square root of 3537953952 is about 59480.7023495856. The cubic root of 3537953952 is about 1523.7628884145.

The spelling of 3537953952 in words is "three billion, five hundred thirty-seven million, nine hundred fifty-three thousand, nine hundred fifty-two".