3537870336 has 720 divisors, whose sum is σ = 14018209920. Its totient is φ = 833863680.

The previous prime is 3537870313. The next prime is 3537870353. The reversal of 3537870336 is 6330787353.

3537870336 is a `hidden beast` number, since 3 + 537 + 87 + 0 + 3 + 36 = 666.

3537870336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3537870291 and 3537870300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59963875 + ... + 59963933.

It is an arithmetic number, because the mean of its divisors is an integer number (19469736).

Almost surely, 2^3537870336 is an apocalyptic number.

3537870336 is a gapful number since it is divisible by the number (36) 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 3537870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009104960).

3537870336 is an abundant number, since it is smaller than the sum of its proper divisors (10480339584).

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

3537870336 is a wasteful number, since it uses less digits than its factorization.

3537870336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 3537870336 is about 59479.9994620040. Note that the first 3 decimals coincide. The cubic root of 3537870336 is about 1523.7508841165.

The spelling of 3537870336 in words is "three billion, five hundred thirty-seven million, eight hundred seventy thousand, three hundred thirty-six".