3732650760960 has 2016 divisors, whose sum is σ = 15511533101568. Its totient is φ = 851363758080.

The previous prime is 3732650760899. The next prime is 3732650760973. The reversal of 3732650760960 is 690670562373.

3732650760960 is a `hidden beast` number, since 3 + 7 + 3 + 26 + 5 + 0 + 7 + 609 + 6 + 0 = 666.

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 = 3732650760897 and 3732650760906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 22899697839 + ... + 22899698001.

It is an arithmetic number, because the mean of its divisors is an integer number (7694212848).

Almost surely, 2^{3732650760960} is an apocalyptic number.

3732650760960 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 3732650760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755766550784).

3732650760960 is an abundant number, since it is smaller than the sum of its proper divisors (11778882340608).

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

3732650760960 is a wasteful number, since it uses less digits than its factorization.

3732650760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 3732650760960 in words is "three trillion, seven hundred thirty-two billion, six hundred fifty million, seven hundred sixty thousand, nine hundred sixty".