340948800 has 126 divisors (see below), whose sum is σ = 1211863718. Its totient is φ = 90915840.

The previous prime is 340948799. The next prime is 340948801. The reversal of 340948800 is 8849043.

It is an interprime number because it is at equal distance from previous prime (340948799) and next prime (340948801).

It can be written as a sum of positive squares in 3 ways, for example, as 13483584 + 327465216 = 3672^2 + 18096^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340948801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2562 + ... + 26238.

Almost surely, 2^340948800 is an apocalyptic number.

340948800 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 340948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605931859).

340948800 is an abundant number, since it is smaller than the sum of its proper divisors (870914918).

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

340948800 is a wasteful number, since it uses less digits than its factorization.

340948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23705 (or 23687 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 340948800 is about 18464.7989428534. The cubic root of 340948800 is about 698.6018350450.

The spelling of 340948800 in words is "three hundred forty million, nine hundred forty-eight thousand, eight hundred".