3460800 has 168 divisors, whose sum is σ = 13102336. Its totient is φ = 783360.

The previous prime is 3460799. The next prime is 3460813. The reversal of 3460800 is 80643.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 33549 + ... + 33651.

Almost surely, 2^3460800 is an apocalyptic number.

3460800 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 3460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551168).

3460800 is an abundant number, since it is smaller than the sum of its proper divisors (9641536).

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

3460800 is a wasteful number, since it uses less digits than its factorization.

3460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3460800 is about 1860.3225526774. The cubic root of 3460800 is about 151.2604892209.

The spelling of 3460800 in words is "three million, four hundred sixty thousand, eight hundred".