3334747680 has 144 divisors (see below), whose sum is σ = 12414415104. Its totient is φ = 808419840.

The previous prime is 3334747657. The next prime is 3334747681. The reversal of 3334747680 is 867474333.

3334747680 is a `hidden beast` number, since 3 + 33 + 474 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3334747680² = 22241084178530764800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3334747681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89424 + ... + 121103.

It is an arithmetic number, because the mean of its divisors is an integer number (86211216).

Almost surely, 2^3334747680 is an apocalyptic number.

3334747680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3334747680 is an abundant number, since it is smaller than the sum of its proper divisors (9079667424).

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

3334747680 is a wasteful number, since it uses less digits than its factorization.

3334747680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210559 (or 210548 counting only the distinct ones).

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

The square root of 3334747680 is about 57747.2742213864. The cubic root of 3334747680 is about 1494.0128276400.

The spelling of 3334747680 in words is "three billion, three hundred thirty-four million, seven hundred forty-seven thousand, six hundred eighty".