340400736 has 288 divisors, whose sum is σ = 1122750720. Its totient is φ = 97016832.

The previous prime is 340400729. The next prime is 340400747. The reversal of 340400736 is 637004043.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×340400736² = 231745322138683392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5080575 + ... + 5080641.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2^340400736 is an apocalyptic number.

340400736 is a gapful number since it is divisible by the number (36) 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 340400736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561375360).

340400736 is an abundant number, since it is smaller than the sum of its proper divisors (782349984).

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

340400736 is a wasteful number, since it uses less digits than its factorization.

340400736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 340400736 is about 18449.9521950600. The cubic root of 340400736 is about 698.2273077901.

Adding to 340400736 its reverse (637004043), we get a palindrome (977404779).

It can be divided in two parts, 3404007 and 36, that added together give a palindrome (3404043).

The spelling of 340400736 in words is "three hundred forty million, four hundred thousand, seven hundred thirty-six".