3782626051050 has 1344 divisors, whose sum is σ = 13658502942720. Its totient is φ = 756340416000.

The previous prime is 3782626051033. The next prime is 3782626051081. The reversal of 3782626051050 is 501506262873.

3782626051050 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 626 + 0 + 5 + 10 + 5 + 0 = 666.

It is a super-2 number, since 2×3782626051050² (a number of 26 digits) contains 22 as substring.

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 = 3782626050987 and 3782626051005.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 8776394335 + ... + 8776394765.

Almost surely, 2^{3782626051050} is an apocalyptic number.

3782626051050 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 3782626051050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829251471360).

3782626051050 is an abundant number, since it is smaller than the sum of its proper divisors (9875876891670).

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

3782626051050 is a wasteful number, since it uses less digits than its factorization.

3782626051050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3782626051050 in words is "three trillion, seven hundred eighty-two billion, six hundred twenty-six million, fifty-one thousand, fifty".