3634995440196 has 384 divisors, whose sum is σ = 10783632384000. Its totient is φ = 1065094894080.

The previous prime is 3634995440189. The next prime is 3634995440257. The reversal of 3634995440196 is 6910445994363.

3634995440196 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 99 + 54 + 401 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200608825 + ... + 200626943.

It is an arithmetic number, because the mean of its divisors is an integer number (28082376000).

Almost surely, 2^{3634995440196} is an apocalyptic number.

3634995440196 is a gapful number since it is divisible by the number (36) 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 3634995440196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391816192000).

3634995440196 is an abundant number, since it is smaller than the sum of its proper divisors (7148636943804).

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

3634995440196 is a wasteful number, since it uses less digits than its factorization.

3634995440196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18251 (or 18231 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 3634995440196 in words is "three trillion, six hundred thirty-four billion, nine hundred ninety-five million, four hundred forty thousand, one hundred ninety-six".