3903159897000 has 768 divisors, whose sum is σ = 17192332684800. Its totient is φ = 775078502400.

The previous prime is 3903159896953. The next prime is 3903159897001. The reversal of 3903159897000 is 7989513093.

3903159897000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3903159897001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13782831 + ... + 14063169.

It is an arithmetic number, because the mean of its divisors is an integer number (22385849850).

Almost surely, 2^{3903159897000} is an apocalyptic number.

3903159897000 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 3903159897000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596166342400).

3903159897000 is an abundant number, since it is smaller than the sum of its proper divisors (13289172787800).

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

3903159897000 is a wasteful number, since it uses less digits than its factorization.

3903159897000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280403 (or 280386 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 3903159897000 in words is "three trillion, nine hundred three billion, one hundred fifty-nine million, eight hundred ninety-seven thousand".