3460438800 has 720 divisors, whose sum is σ = 15460260480. Its totient is φ = 728663040.

The previous prime is 3460438799. The next prime is 3460438811. The reversal of 3460438800 is 88340643.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 6879349 + ... + 6879851.

It is an arithmetic number, because the mean of its divisors is an integer number (21472584).

Almost surely, 2^3460438800 is an apocalyptic number.

3460438800 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 3460438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730130240).

3460438800 is an abundant number, since it is smaller than the sum of its proper divisors (11999821680).

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

3460438800 is a wasteful number, since it uses less digits than its factorization.

3460438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3460438800 is about 58825.4944730599. The cubic root of 3460438800 is about 1512.5522673921.

The spelling of 3460438800 in words is "three billion, four hundred sixty million, four hundred thirty-eight thousand, eight hundred".