340770400 has 72 divisors (see below), whose sum is σ = 845664624. Its totient is φ = 134054400.

The previous prime is 340770359. The next prime is 340770439. The reversal of 340770400 is 4077043.

It is a happy number.

It is a super-2 number, since 2×340770400² = 232248931032320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 45309 + ... + 52291.

It is an arithmetic number, because the mean of its divisors is an integer number (11745342).

Almost surely, 2^340770400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422832312).

340770400 is an abundant number, since it is smaller than the sum of its proper divisors (504894224).

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

340770400 is a wasteful number, since it uses less digits than its factorization.

340770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 7051 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 340770400 is about 18459.9674972628. The cubic root of 340770400 is about 698.4799669804.

The spelling of 340770400 in words is "three hundred forty million, seven hundred seventy thousand, four hundred".