340007072 has 48 divisors (see below), whose sum is σ = 718828992. Its totient is φ = 157731840.

The previous prime is 340007069. The next prime is 340007081. The reversal of 340007072 is 270700043.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34223 + ... + 43025.

It is an arithmetic number, because the mean of its divisors is an integer number (14975604).

Almost surely, 2^340007072 is an apocalyptic number.

340007072 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 340007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359414496).

340007072 is an abundant number, since it is smaller than the sum of its proper divisors (378821920).

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

340007072 is a wasteful number, since it uses less digits than its factorization.

340007072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8901 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 340007072 is about 18439.2806801133. The cubic root of 340007072 is about 697.9580437996.

The spelling of 340007072 in words is "three hundred forty million, seven thousand, seventy-two".