3537620352 has 256 divisors, whose sum is σ = 11995200000. Its totient is φ = 1005447168.

The previous prime is 3537620351. The next prime is 3537620381. The reversal of 3537620352 is 2530267353.

3537620352 is a `hidden beast` number, since 35 + 376 + 203 + 52 = 666.

3537620352 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 not an unprimeable number, because it can be changed into a prime (3537620351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8442799 + ... + 8443217.

It is an arithmetic number, because the mean of its divisors is an integer number (46856250).

Almost surely, 2^3537620352 is an apocalyptic number.

3537620352 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 3537620352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997600000).

3537620352 is an abundant number, since it is smaller than the sum of its proper divisors (8457579648).

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

3537620352 is a wasteful number, since it uses less digits than its factorization.

3537620352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 3537620352 is about 59477.8980126231. The cubic root of 3537620352 is about 1523.7149941340.

The spelling of 3537620352 in words is "three billion, five hundred thirty-seven million, six hundred twenty thousand, three hundred fifty-two".