3629219074560 has 1280 divisors, whose sum is σ = 13907627712000. Its totient is φ = 905541451776.

The previous prime is 3629219074543. The next prime is 3629219074561. The reversal of 3629219074560 is 654709129263.

3629219074560 is a `hidden beast` number, since 3 + 6 + 2 + 9 + 2 + 1 + 9 + 0 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3629219074497 and 3629219074506.

It is not an unprimeable number, because it can be changed into a prime (3629219074561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11594948964 + ... + 11594949276.

It is an arithmetic number, because the mean of its divisors is an integer number (10865334150).

Almost surely, 2^{3629219074560} is an apocalyptic number.

3629219074560 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 3629219074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953813856000).

3629219074560 is an abundant number, since it is smaller than the sum of its proper divisors (10278408637440).

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

3629219074560 is an equidigital number, since it uses as much as digits as its factorization.

3629219074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3629219074560 in words is "three trillion, six hundred twenty-nine billion, two hundred nineteen million, seventy-four thousand, five hundred sixty".