34649040 has 80 divisors (see below), whose sum is σ = 112099968. Its totient is φ = 8836608.

The previous prime is 34649023. The next prime is 34649047. The reversal of 34649040 is 4094643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34648989 and 34649007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34649047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382 + ... + 8658.

Almost surely, 2^34649040 is an apocalyptic number.

34649040 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 34649040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56049984).

34649040 is an abundant number, since it is smaller than the sum of its proper divisors (77450928).

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

34649040 is a wasteful number, since it uses less digits than its factorization.

34649040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 34649040 is about 5886.3435169891. The cubic root of 34649040 is about 326.0096099141.

The spelling of 34649040 in words is "thirty-four million, six hundred forty-nine thousand, forty".