1003872339990 has 192 divisors, whose sum is σ = 2856771590400. Its totient is φ = 243092109312.

The previous prime is 1003872339973. The next prime is 1003872340013. The reversal of 1003872339990 is 999332783001.

1003872339990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25583506 + ... + 25622714.

It is an arithmetic number, because the mean of its divisors is an integer number (14879018700).

Almost surely, 2^{1003872339990} is an apocalyptic number.

1003872339990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003872339990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428385795200).

1003872339990 is an abundant number, since it is smaller than the sum of its proper divisors (1852899250410).

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

1003872339990 is a wasteful number, since it uses less digits than its factorization.

1003872339990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39591 (or 39588 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 1003872339990 in words is "one trillion, three billion, eight hundred seventy-two million, three hundred thirty-nine thousand, nine hundred ninety".