3823121617920 has 1760 divisors, whose sum is σ = 15818995906560. Its totient is φ = 873844899840.

The previous prime is 3823121617877. The next prime is 3823121617937. The reversal of 3823121617920 is 297161213283.

It is a happy number.

3823121617920 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 1 + 2 + 1 + 617 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8708705061 + ... + 8708705499.

It is an arithmetic number, because the mean of its divisors is an integer number (8988065856).

Almost surely, 2^{3823121617920} is an apocalyptic number.

3823121617920 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 3823121617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909497953280).

3823121617920 is an abundant number, since it is smaller than the sum of its proper divisors (11995874288640).

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

3823121617920 is a wasteful number, since it uses less digits than its factorization.

3823121617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3823121617920 in words is "three trillion, eight hundred twenty-three billion, one hundred twenty-one million, six hundred seventeen thousand, nine hundred twenty".