340961400 has 240 divisors, whose sum is σ = 1276090200. Its totient is φ = 83877120.

The previous prime is 340961389. The next prime is 340961419. The reversal of 340961400 is 4169043.

340961400 is a `hidden beast` number, since 3 + 40 + 9 + 614 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 209791 + ... + 211409.

Almost surely, 2^340961400 is an apocalyptic number.

340961400 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 340961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638045100).

340961400 is an abundant number, since it is smaller than the sum of its proper divisors (935128800).

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

340961400 is a wasteful number, since it uses less digits than its factorization.

340961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 340961400 is about 18465.1401294439. The cubic root of 340961400 is about 698.6104407112.

The spelling of 340961400 in words is "three hundred forty million, nine hundred sixty-one thousand, four hundred".