3641628361392 has 240 divisors, whose sum is σ = 12082914421760. Its totient is φ = 1040112285696.

The previous prime is 3641628361363. The next prime is 3641628361471. The reversal of 3641628361392 is 2931638261463.

3641628361392 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 628 + 3 + 6 + 1 + 3 + 9 + 2 = 666.

It is a super-2 number, since 2×3641628361392² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 86226393 + ... + 86268615.

Almost surely, 2^{3641628361392} 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 3641628361392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041457210880).

3641628361392 is an abundant number, since it is smaller than the sum of its proper divisors (8441286060368).

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

3641628361392 is a wasteful number, since it uses less digits than its factorization.

3641628361392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45422 (or 45404 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 3641628361392 in words is "three trillion, six hundred forty-one billion, six hundred twenty-eight million, three hundred sixty-one thousand, three hundred ninety-two".