340070400 has 390 divisors, whose sum is σ = 1290426522. Its totient is φ = 88473600.

The previous prime is 340070383. The next prime is 340070429. The reversal of 340070400 is 4070043.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 339738624 = 576^2 + 18432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8294380 + ... + 8294420.

Almost surely, 2^340070400 is an apocalyptic number.

340070400 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 340070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645213261).

340070400 is an abundant number, since it is smaller than the sum of its proper divisors (950356122).

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

340070400 is an equidigital number, since it uses as much as digits as its factorization.

340070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 340070400 is about 18440.9978038066. The cubic root of 340070400 is about 698.0013738229.

The spelling of 340070400 in words is "three hundred forty million, seventy thousand, four hundred".