34827840 has 224 divisors, whose sum is σ = 128016000. Its totient is φ = 8902656.

The previous prime is 34827833. The next prime is 34827847. The reversal of 34827840 is 4872843.

34827840 is a `hidden beast` number, since 348 + 278 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (34827833) and next prime (34827847).

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 = 34827795 and 34827804.

It is not an unprimeable number, because it can be changed into a prime (34827847) 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, 250491 + ... + 250629.

It is an arithmetic number, because the mean of its divisors is an integer number (571500).

Almost surely, 2^34827840 is an apocalyptic number.

34827840 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 34827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008000).

34827840 is an abundant number, since it is smaller than the sum of its proper divisors (93188160).

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

34827840 is a wasteful number, since it uses less digits than its factorization.

34827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 34827840 is about 5901.5116707501. The cubic root of 34827840 is about 326.5694189677.

The spelling of 34827840 in words is "thirty-four million, eight hundred twenty-seven thousand, eight hundred forty".