3343747680 has 1152 divisors, whose sum is σ = 15850598400. Its totient is φ = 621084672.

The previous prime is 3343747679. The next prime is 3343747681. The reversal of 3343747680 is 867473433.

It is an interprime number because it is at equal distance from previous prime (3343747679) and next prime (3343747681).

It is a super-2 number, since 2×3343747680² = 22361297095010764800, which 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 not an unprimeable number, because it can be changed into a prime (3343747681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42325881 + ... + 42325959.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2^3343747680 is an apocalyptic number.

3343747680 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 3343747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

3343747680 is an abundant number, since it is smaller than the sum of its proper divisors (12506850720).

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

3343747680 is a wasteful number, since it uses less digits than its factorization.

3343747680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3343747680 is about 57825.1474706291. The cubic root of 3343747680 is about 1495.3556615883.

The spelling of 3343747680 in words is "three billion, three hundred forty-three million, seven hundred forty-seven thousand, six hundred eighty".