3634420285440 has 1920 divisors, whose sum is σ = 15881292630720. Its totient is φ = 794606174208.

The previous prime is 3634420285421. The next prime is 3634420285453. The reversal of 3634420285440 is 445820244363.

3634420285440 is a `hidden beast` number, since 3 + 6 + 344 + 20 + 285 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3634420285440² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 158018273269 + ... + 158018273291.

Almost surely, 2^{3634420285440} is an apocalyptic number.

3634420285440 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 3634420285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940646315360).

3634420285440 is an abundant number, since it is smaller than the sum of its proper divisors (12246872345280).

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

3634420285440 is an frugal number, since it uses more digits than its factorization.

3634420285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 3634420285440 in words is "three trillion, six hundred thirty-four billion, four hundred twenty million, two hundred eighty-five thousand, four hundred forty".