3903051350016 has 1800 divisors, whose sum is σ = 15439910011680. Its totient is φ = 975198486528.

The previous prime is 3903051349999. The next prime is 3903051350057. The reversal of 3903051350016 is 6100531503093.

3903051350016 is a `hidden beast` number, since 3 + 90 + 3 + 0 + 51 + 3 + 500 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 205423755255 + ... + 205423755273.

Almost surely, 2^{3903051350016} is an apocalyptic number.

3903051350016 is a gapful number since it is divisible by the number (36) 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 3903051350016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719955005840).

3903051350016 is an abundant number, since it is smaller than the sum of its proper divisors (11536858661664).

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

3903051350016 is an frugal number, since it uses more digits than its factorization.

3903051350016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The spelling of 3903051350016 in words is "three trillion, nine hundred three billion, fifty-one million, three hundred fifty thousand, sixteen".