3900730882752 has 1008 divisors, whose sum is σ = 13595174028800. Its totient is φ = 1104851404800.

The previous prime is 3900730882729. The next prime is 3900730882759. The reversal of 3900730882752 is 2572880370093.

3900730882752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3900730882759) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2824569102 + ... + 2824570482.

Almost surely, 2^{3900730882752} is an apocalyptic number.

3900730882752 is a gapful number since it is divisible by the number (32) 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 3900730882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797587014400).

3900730882752 is an abundant number, since it is smaller than the sum of its proper divisors (9694443146048).

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

3900730882752 is a wasteful number, since it uses less digits than its factorization.

3900730882752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3900730882752 in words is "three trillion, nine hundred billion, seven hundred thirty million, eight hundred eighty-two thousand, seven hundred fifty-two".