3316972861440 has 960 divisors, whose sum is σ = 13649214458880. Its totient is φ = 757842739200.

The previous prime is 3316972861409. The next prime is 3316972861451. The reversal of 3316972861440 is 441682796133.

3316972861440 is a `hidden beast` number, since 3 + 3 + 16 + 9 + 7 + 2 + 8 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3316972861440² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1410876265 + ... + 1410878615.

It is an arithmetic number, because the mean of its divisors is an integer number (14217931728).

Almost surely, 2^{3316972861440} is an apocalyptic number.

3316972861440 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 3316972861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824607229440).

3316972861440 is an abundant number, since it is smaller than the sum of its proper divisors (10332241597440).

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

3316972861440 is an frugal number, since it uses more digits than its factorization.

3316972861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3316972861440 in words is "three trillion, three hundred sixteen billion, nine hundred seventy-two million, eight hundred sixty-one thousand, four hundred forty".