3642049783224 has 256 divisors, whose sum is σ = 10914528768000. Its totient is φ = 1121559384960.

The previous prime is 3642049783123. The next prime is 3642049783303. The reversal of 3642049783224 is 4223879402463.

3642049783224 is a `hidden beast` number, since 36 + 4 + 20 + 497 + 83 + 2 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111337479 + ... + 111370185.

It is an arithmetic number, because the mean of its divisors is an integer number (42634878000).

Almost surely, 2^{3642049783224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642049783224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457264384000).

3642049783224 is an abundant number, since it is smaller than the sum of its proper divisors (7272478984776).

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

3642049783224 is a wasteful number, since it uses less digits than its factorization.

3642049783224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33415 (or 33405 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3642049783224 in words is "three trillion, six hundred forty-two billion, forty-nine million, seven hundred eighty-three thousand, two hundred twenty-four".