3414343680 has 360 divisors, whose sum is σ = 12942702864. Its totient is φ = 825753600.

The previous prime is 3414343657. The next prime is 3414343697. The reversal of 3414343680 is 863434143.

It is a happy number.

3414343680 is a `hidden beast` number, since 3 + 4 + 143 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109870 + ... + 8110290.

Almost surely, 2^3414343680 is an apocalyptic number.

3414343680 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 3414343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471351432).

3414343680 is an abundant number, since it is smaller than the sum of its proper divisors (9528359184).

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

3414343680 is a wasteful number, since it uses less digits than its factorization.

3414343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3414343680 is about 58432.3855408968. The cubic root of 3414343680 is about 1505.8061897754.

The spelling of 3414343680 in words is "three billion, four hundred fourteen million, three hundred forty-three thousand, six hundred eighty".