3537768960 has 720 divisors, whose sum is σ = 14263337088. Its totient is φ = 839393280.

The previous prime is 3537768931. The next prime is 3537768961. The reversal of 3537768960 is 698677353.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3537768897 and 3537768906.

It is not an unprimeable number, because it can be changed into a prime (3537768961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75271657 + ... + 75271703.

Almost surely, 2^3537768960 is an apocalyptic number.

3537768960 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 3537768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131668544).

3537768960 is an abundant number, since it is smaller than the sum of its proper divisors (10725568128).

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

3537768960 is an equidigital number, since it uses as much as digits as its factorization.

3537768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3537768960 is about 59479.1472702829. The cubic root of 3537768960 is about 1523.7363298573.

The spelling of 3537768960 in words is "three billion, five hundred thirty-seven million, seven hundred sixty-eight thousand, nine hundred sixty".