34639740 has 72 divisors (see below), whose sum is σ = 107085888. Its totient is φ = 9060480.

The previous prime is 34639729. The next prime is 34639751. The reversal of 34639740 is 4793643.

It is an interprime number because it is at equal distance from previous prime (34639729) and next prime (34639751).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 34639695 and 34639704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7725 + ... + 11355.

It is an arithmetic number, because the mean of its divisors is an integer number (1487304).

Almost surely, 2^34639740 is an apocalyptic number.

34639740 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 34639740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53542944).

34639740 is an abundant number, since it is smaller than the sum of its proper divisors (72446148).

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

34639740 is a wasteful number, since it uses less digits than its factorization.

34639740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 34639740 is about 5885.5534998843. The cubic root of 34639740 is about 325.9804396911.

It can be divided in two parts, 3463 and 9740, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 34639740 in words is "thirty-four million, six hundred thirty-nine thousand, seven hundred forty".