3752952042800 has 120 divisors (see below), whose sum is σ = 9114940773120. Its totient is φ = 1484820691200.

The previous prime is 3752952042797. The next prime is 3752952042869. The reversal of 3752952042800 is 82402592573.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34512515 + ... + 34621085.

It is an arithmetic number, because the mean of its divisors is an integer number (75957839776).

Almost surely, 2^{3752952042800} 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 3752952042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557470386560).

3752952042800 is an abundant number, since it is smaller than the sum of its proper divisors (5361988730320).

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

3752952042800 is a wasteful number, since it uses less digits than its factorization.

3752952042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109531 (or 109520 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 3752952042800 in words is "three trillion, seven hundred fifty-two billion, nine hundred fifty-two million, forty-two thousand, eight hundred".