34076640 has 192 divisors, whose sum is σ = 119218176. Its totient is φ = 8128512.

The previous prime is 34076629. The next prime is 34076641. The reversal of 34076640 is 4667043.

34076640 is a nontrivial binomial coefficient, being equal to C(8256, 2).

It is a super-2 number, since 2×34076640² = 2322434787379200, which contains 22 as substring.

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 = 34076598 and 34076607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34076641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268257 + ... + 268383.

It is an arithmetic number, because the mean of its divisors is an integer number (620928).

Almost surely, 2^34076640 is an apocalyptic number.

34076640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34076640 is the 8255-th triangular number and also the 4128-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59609088).

34076640 is an abundant number, since it is smaller than the sum of its proper divisors (85141536).

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

34076640 is a wasteful number, since it uses less digits than its factorization.

34076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 34076640 is about 5837.5200213789. The cubic root of 34076640 is about 324.2044129984.

It can be divided in two parts, 34076 and 640, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 34076640 in words is "thirty-four million, seventy-six thousand, six hundred forty".