3344861520 has 1440 divisors, whose sum is σ = 16763034240. Its totient is φ = 603832320.

The previous prime is 3344861519. The next prime is 3344861521. The reversal of 3344861520 is 251684433.

3344861520 is a `hidden beast` number, since 3 + 34 + 4 + 8 + 615 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3344861519) and next prime (3344861521).

It is a super-2 number, since 2×3344861520² = 22376197175953420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344861521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 196756552 + ... + 196756568.

It is an arithmetic number, because the mean of its divisors is an integer number (11640996).

Almost surely, 2^3344861520 is an apocalyptic number.

3344861520 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 3344861520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8381517120).

3344861520 is an abundant number, since it is smaller than the sum of its proper divisors (13418172720).

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

3344861520 is a wasteful number, since it uses less digits than its factorization.

3344861520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3344861520 is about 57834.7777725479. Note that the first 5 decimals coincide. The cubic root of 3344861520 is about 1495.5216830909.

The spelling of 3344861520 in words is "three billion, three hundred forty-four million, eight hundred sixty-one thousand, five hundred twenty".