3671861323648 has 256 divisors, whose sum is σ = 8795086272000. Its totient is φ = 1493785681920.

The previous prime is 3671861323633. The next prime is 3671861323709. The reversal of 3671861323648 is 8463231681763.

It is a super-3 number, since 3×3671861323648³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 3671861323592 and 3671861323601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455053758 + ... + 455061826.

It is an arithmetic number, because the mean of its divisors is an integer number (34355805750).

Almost surely, 2^{3671861323648} 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 3671861323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397543136000).

3671861323648 is an abundant number, since it is smaller than the sum of its proper divisors (5123224948352).

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

3671861323648 is a wasteful number, since it uses less digits than its factorization.

3671861323648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413 (or 8401 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 58.

The spelling of 3671861323648 in words is "three trillion, six hundred seventy-one billion, eight hundred sixty-one million, three hundred twenty-three thousand, six hundred forty-eight".