340085952 has 210 divisors, whose sum is σ = 1075628532. Its totient is φ = 106223616.

The previous prime is 340085947. The next prime is 340085957. The reversal of 340085952 is 259580043.

It is an interprime number because it is at equal distance from previous prime (340085947) and next prime (340085957).

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

It is not an unprimeable number, because it can be changed into a prime (340085957) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1498063 + ... + 1498289.

Almost surely, 2^340085952 is an apocalyptic number.

340085952 is a gapful number since it is divisible by the number (32) 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 340085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537814266).

340085952 is an abundant number, since it is smaller than the sum of its proper divisors (735542580).

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

340085952 is a wasteful number, since it uses less digits than its factorization.

340085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 340085952 is about 18441.4194681429. The cubic root of 340085952 is about 698.0120139256.

The spelling of 340085952 in words is "three hundred forty million, eighty-five thousand, nine hundred fifty-two".