3380444107740 has 480 divisors, whose sum is σ = 12289222128960. Its totient is φ = 771401885184.

The previous prime is 3380444107739. The next prime is 3380444107757. The reversal of 3380444107740 is 477014440833.

3380444107740 is a `hidden beast` number, since 3 + 38 + 0 + 444 + 107 + 74 + 0 = 666.

It is a super-2 number, since 2×3380444107740² (a number of 26 digits) contains 22 as substring.

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, 950362042 + ... + 950365598.

It is an arithmetic number, because the mean of its divisors is an integer number (25602546102).

Almost surely, 2^{3380444107740} is an apocalyptic number.

3380444107740 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 3380444107740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144611064480).

3380444107740 is an abundant number, since it is smaller than the sum of its proper divisors (8908778021220).

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

3380444107740 is a wasteful number, since it uses less digits than its factorization.

3380444107740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 3380444107740 in words is "three trillion, three hundred eighty billion, four hundred forty-four million, one hundred seven thousand, seven hundred forty".