3460300800 has 276 divisors, whose sum is σ = 12482247216. Its totient is φ = 838860800.

The previous prime is 3460300769. The next prime is 3460300873. The reversal of 3460300800 is 80030643.

It is a super-3 number, since 3×3460300800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314572795 + ... + 314572805.

Almost surely, 2^3460300800 is an apocalyptic number.

3460300800 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 3460300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241123608).

3460300800 is an abundant number, since it is smaller than the sum of its proper divisors (9021946416).

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

3460300800 is an frugal number, since it uses more digits than its factorization.

3460300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3460300800 is about 58824.3215005494. The cubic root of 3460300800 is about 1512.5321605984.

The spelling of 3460300800 in words is "three billion, four hundred sixty million, three hundred thousand, eight hundred".