3460423680 has 560 divisors, whose sum is σ = 14272869600. Its totient is φ = 785645568.

The previous prime is 3460423597. The next prime is 3460423699. The reversal of 3460423680 is 863240643.

It is a happy number.

3460423680 is a `hidden beast` number, since 346 + 0 + 4 + 236 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23224246 + ... + 23224394.

Almost surely, 2^3460423680 is an apocalyptic number.

3460423680 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 3460423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136434800).

3460423680 is an abundant number, since it is smaller than the sum of its proper divisors (10812445920).

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

3460423680 is an equidigital number, since it uses as much as digits as its factorization.

3460423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 166 counting only the distinct ones).

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

The square root of 3460423680 is about 58825.3659572127. The cubic root of 3460423680 is about 1512.5500644130.

The spelling of 3460423680 in words is "three billion, four hundred sixty million, four hundred twenty-three thousand, six hundred eighty".