3643272417096 has 320 divisors, whose sum is σ = 11270867731200. Its totient is φ = 1092370406400.

The previous prime is 3643272417091. The next prime is 3643272417119. The reversal of 3643272417096 is 6907142723463.

It is a happy number.

3643272417096 is a `hidden beast` number, since 3 + 6 + 4 + 327 + 241 + 70 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3643272417091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 314639035 + ... + 314650613.

It is an arithmetic number, because the mean of its divisors is an integer number (35221461660).

Almost surely, 2^{3643272417096} is an apocalyptic number.

3643272417096 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 3643272417096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635433865600).

3643272417096 is an abundant number, since it is smaller than the sum of its proper divisors (7627595314104).

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

3643272417096 is a wasteful number, since it uses less digits than its factorization.

3643272417096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12562 (or 12549 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3643272417096 in words is "three trillion, six hundred forty-three billion, two hundred seventy-two million, four hundred seventeen thousand, ninety-six".