3537548352 has 168 divisors, whose sum is σ = 10976376320. Its totient is φ = 1082833920.

The previous prime is 3537548299. The next prime is 3537548369. The reversal of 3537548352 is 2538457353.

3537548352 is a `hidden beast` number, since 3 + 53 + 7 + 548 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3537548298 and 3537548307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1578849 + ... + 1581087.

Almost surely, 2^3537548352 is an apocalyptic number.

3537548352 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 3537548352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488188160).

3537548352 is an abundant number, since it is smaller than the sum of its proper divisors (7438827968).

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

3537548352 is a wasteful number, since it uses less digits than its factorization.

3537548352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2468 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 3537548352 is about 59477.2927426930. The cubic root of 3537548352 is about 1523.7046568438.

Subtracting from 3537548352 its reverse (2538457353), we obtain a palindrome (999090999).

The spelling of 3537548352 in words is "three billion, five hundred thirty-seven million, five hundred forty-eight thousand, three hundred fifty-two".