3752829627456 has 672 divisors, whose sum is σ = 13190306758272. Its totient is φ = 930149498880.

The previous prime is 3752829627451. The next prime is 3752829627457. The reversal of 3752829627456 is 6547269282573.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (3752829627451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2717471886 + ... + 2717473266.

It is an arithmetic number, because the mean of its divisors is an integer number (19628432676).

Almost surely, 2^{3752829627456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3752829627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595153379136).

3752829627456 is an abundant number, since it is smaller than the sum of its proper divisors (9437477130816).

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

3752829627456 is a wasteful number, since it uses less digits than its factorization.

3752829627456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2730 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 66.

The spelling of 3752829627456 in words is "three trillion, seven hundred fifty-two billion, eight hundred twenty-nine million, six hundred twenty-seven thousand, four hundred fifty-six".