3628836433152 has 432 divisors, whose sum is σ = 13129852724352. Its totient is φ = 975819571200.

The previous prime is 3628836433147. The next prime is 3628836433267. The reversal of 3628836433152 is 2513346388263.

3628836433152 is a `hidden beast` number, since 3 + 6 + 28 + 8 + 36 + 433 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 7157652 + ... + 7647852.

Almost surely, 2^{3628836433152} is an apocalyptic number.

3628836433152 is a gapful number since it is divisible by the number (32) 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 3628836433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564926362176).

3628836433152 is an abundant number, since it is smaller than the sum of its proper divisors (9501016291200).

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

3628836433152 is an equidigital number, since it uses as much as digits as its factorization.

3628836433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490256 (or 490230 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 3628836433152 in words is "three trillion, six hundred twenty-eight billion, eight hundred thirty-six million, four hundred thirty-three thousand, one hundred fifty-two".