3083832630450 has 1536 divisors, whose sum is σ = 11156085964800. Its totient is φ = 614739456000.

The previous prime is 3083832630449. The next prime is 3083832630491. The reversal of 3083832630450 is 540362383803.

3083832630450 is a `hidden beast` number, since 3 + 0 + 8 + 3 + 8 + 3 + 2 + 630 + 4 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3083832630396 and 3083832630405.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4207138284 + ... + 4207139016.

It is an arithmetic number, because the mean of its divisors is an integer number (7263076800).

Almost surely, 2^{3083832630450} is an apocalyptic number.

3083832630450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3083832630450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578042982400).

3083832630450 is an abundant number, since it is smaller than the sum of its proper divisors (8072253334350).

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

3083832630450 is a wasteful number, since it uses less digits than its factorization.

3083832630450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3083832630450 in words is "three trillion, eighty-three billion, eight hundred thirty-two million, six hundred thirty thousand, four hundred fifty".