3900670028640 has 3072 divisors, whose sum is σ = 18965908684800. Its totient is φ = 724250419200.

The previous prime is 3900670028611. The next prime is 3900670028741. The reversal of 3900670028640 is 468200760093.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 8424773049 + ... + 8424773511.

It is an arithmetic number, because the mean of its divisors is an integer number (6173798400).

Almost surely, 2^{3900670028640} is an apocalyptic number.

3900670028640 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 3900670028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482954342400).

3900670028640 is an abundant number, since it is smaller than the sum of its proper divisors (15065238656160).

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

3900670028640 is a wasteful number, since it uses less digits than its factorization.

3900670028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3900670028640 in words is "three trillion, nine hundred billion, six hundred seventy million, twenty-eight thousand, six hundred forty".